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Finding the Fourth Proportional to 413,693.56, 571,115.10 and 278,438.68

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Solution

The fourth proportional to 413,693.56, 571,115.10 and 278,438.68 is: 384,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,693.56 : 571,115.10 = 278,438.68 : x
  2. Step 2: Convert to fraction form
    413,693.56/571,115.10 = 278,438.68/x
  3. Step 3: Cross multiply
    413,693.56x = 571,115.10 × 278,438.68
  4. Step 4: Simplify right side
    413,693.56x = 159,020,534,572.07
  5. Step 5: Solve for x
    x = 159,020,534,572.07/413,693.56
  6. Step 6: Final answer
    x = 384,392.10

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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.