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Finding the Fourth Proportional to 413,781.12, 571,018.32 and 234,933.12

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Solution

The fourth proportional to 413,781.12, 571,018.32 and 234,933.12 is: 324,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,781.12 : 571,018.32 = 234,933.12 : x
  2. Step 2: Convert to fraction form
    413,781.12/571,018.32 = 234,933.12/x
  3. Step 3: Cross multiply
    413,781.12x = 571,018.32 × 234,933.12
  4. Step 4: Simplify right side
    413,781.12x = 134,151,115,494.76
  5. Step 5: Solve for x
    x = 134,151,115,494.76/413,781.12
  6. Step 6: Final answer
    x = 324,207.92

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