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Finding the Fourth Proportional to 647,713.10, 971,569.65 and 622,829.90

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Solution

The fourth proportional to 647,713.10, 971,569.65 and 622,829.90 is: 934,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,713.10 : 971,569.65 = 622,829.90 : x
  2. Step 2: Convert to fraction form
    647,713.10/971,569.65 = 622,829.90/x
  3. Step 3: Cross multiply
    647,713.10x = 971,569.65 × 622,829.90
  4. Step 4: Simplify right side
    647,713.10x = 605,122,627,952.54
  5. Step 5: Solve for x
    x = 605,122,627,952.54/647,713.10
  6. Step 6: Final answer
    x = 934,244.85

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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.