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Finding the Fourth Proportional to 647,623.40, 971,435.10 and 411,427.40

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Solution

The fourth proportional to 647,623.40, 971,435.10 and 411,427.40 is: 617,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,623.40 : 971,435.10 = 411,427.40 : x
  2. Step 2: Convert to fraction form
    647,623.40/971,435.10 = 411,427.40/x
  3. Step 3: Cross multiply
    647,623.40x = 971,435.10 × 411,427.40
  4. Step 4: Simplify right side
    647,623.40x = 399,675,017,461.74
  5. Step 5: Solve for x
    x = 399,675,017,461.74/647,623.40
  6. Step 6: Final answer
    x = 617,141.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.