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Finding the Fourth Proportional to 647,567.40, 971,351.10 and 411,371.40

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Solution

The fourth proportional to 647,567.40, 971,351.10 and 411,371.40 is: 617,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,567.40 : 971,351.10 = 411,371.40 : x
  2. Step 2: Convert to fraction form
    647,567.40/971,351.10 = 411,371.40/x
  3. Step 3: Cross multiply
    647,567.40x = 971,351.10 × 411,371.40
  4. Step 4: Simplify right side
    647,567.40x = 399,586,061,898.54
  5. Step 5: Solve for x
    x = 399,586,061,898.54/647,567.40
  6. Step 6: Final answer
    x = 617,057.10

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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.