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Finding the Fourth Proportional to 418,305.74, 577,261.92 and 227,319.13

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Solution

The fourth proportional to 418,305.74, 577,261.92 and 227,319.13 is: 313,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,305.74 : 577,261.92 = 227,319.13 : x
  2. Step 2: Convert to fraction form
    418,305.74/577,261.92 = 227,319.13/x
  3. Step 3: Cross multiply
    418,305.74x = 577,261.92 × 227,319.13
  4. Step 4: Simplify right side
    418,305.74x = 131,222,678,716.10
  5. Step 5: Solve for x
    x = 131,222,678,716.10/418,305.74
  6. Step 6: Final answer
    x = 313,700.40

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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.