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Finding the Fourth Proportional to 413,785.12, 571,023.84 and 234,937.12

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Solution

The fourth proportional to 413,785.12, 571,023.84 and 234,937.12 is: 324,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,785.12 : 571,023.84 = 234,937.12 : x
  2. Step 2: Convert to fraction form
    413,785.12/571,023.84 = 234,937.12/x
  3. Step 3: Cross multiply
    413,785.12x = 571,023.84 × 234,937.12
  4. Step 4: Simplify right side
    413,785.12x = 134,154,696,420.94
  5. Step 5: Solve for x
    x = 134,154,696,420.94/413,785.12
  6. Step 6: Final answer
    x = 324,213.44

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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.