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Finding the Fourth Proportional to 523,699.96, 722,711.02 and 297,350.52

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Solution

The fourth proportional to 523,699.96, 722,711.02 and 297,350.52 is: 410,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,699.96 : 722,711.02 = 297,350.52 : x
  2. Step 2: Convert to fraction form
    523,699.96/722,711.02 = 297,350.52/x
  3. Step 3: Cross multiply
    523,699.96x = 722,711.02 × 297,350.52
  4. Step 4: Simplify right side
    523,699.96x = 214,898,497,606.73
  5. Step 5: Solve for x
    x = 214,898,497,606.73/523,699.96
  6. Step 6: Final answer
    x = 410,346.60

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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.