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Finding the Fourth Proportional to 567,185.50, 782,732.46 and 312,553.12

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Solution

The fourth proportional to 567,185.50, 782,732.46 and 312,553.12 is: 431,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,185.50 : 782,732.46 = 312,553.12 : x
  2. Step 2: Convert to fraction form
    567,185.50/782,732.46 = 312,553.12/x
  3. Step 3: Cross multiply
    567,185.50x = 782,732.46 × 312,553.12
  4. Step 4: Simplify right side
    567,185.50x = 244,645,472,498.28
  5. Step 5: Solve for x
    x = 244,645,472,498.28/567,185.50
  6. Step 6: Final answer
    x = 431,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.