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Finding the Fourth Proportional to 647,569.40, 971,354.10 and 411,956.60

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Solution

The fourth proportional to 647,569.40, 971,354.10 and 411,956.60 is: 617,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,569.40 : 971,354.10 = 411,956.60 : x
  2. Step 2: Convert to fraction form
    647,569.40/971,354.10 = 411,956.60/x
  3. Step 3: Cross multiply
    647,569.40x = 971,354.10 × 411,956.60
  4. Step 4: Simplify right side
    647,569.40x = 400,155,732,432.06
  5. Step 5: Solve for x
    x = 400,155,732,432.06/647,569.40
  6. Step 6: Final answer
    x = 617,934.90

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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.