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Finding the Fourth Proportional to 412,534.66, 569,332.66 and 231,243.70

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Solution

The fourth proportional to 412,534.66, 569,332.66 and 231,243.70 is: 319,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,534.66 : 569,332.66 = 231,243.70 : x
  2. Step 2: Convert to fraction form
    412,534.66/569,332.66 = 231,243.70/x
  3. Step 3: Cross multiply
    412,534.66x = 569,332.66 × 231,243.70
  4. Step 4: Simplify right side
    412,534.66x = 131,654,590,829.24
  5. Step 5: Solve for x
    x = 131,654,590,829.24/412,534.66
  6. Step 6: Final answer
    x = 319,135.83

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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.