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Finding the Fourth Proportional to 647,645.60, 971,468.40 and 411,449.60

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Solution

The fourth proportional to 647,645.60, 971,468.40 and 411,449.60 is: 617,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,645.60 : 971,468.40 = 411,449.60 : x
  2. Step 2: Convert to fraction form
    647,645.60/971,468.40 = 411,449.60/x
  3. Step 3: Cross multiply
    647,645.60x = 971,468.40 × 411,449.60
  4. Step 4: Simplify right side
    647,645.60x = 399,710,284,592.64
  5. Step 5: Solve for x
    x = 399,710,284,592.64/647,645.60
  6. Step 6: Final answer
    x = 617,174.40

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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.