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Finding the Fourth Proportional to 647,967.70, 971,951.55 and 411,480.10

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Solution

The fourth proportional to 647,967.70, 971,951.55 and 411,480.10 is: 617,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,967.70 : 971,951.55 = 411,480.10 : x
  2. Step 2: Convert to fraction form
    647,967.70/971,951.55 = 411,480.10/x
  3. Step 3: Cross multiply
    647,967.70x = 971,951.55 × 411,480.10
  4. Step 4: Simplify right side
    647,967.70x = 399,938,720,989.16
  5. Step 5: Solve for x
    x = 399,938,720,989.16/647,967.70
  6. Step 6: Final answer
    x = 617,220.15

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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.