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Finding the Fourth Proportional to 414,659.88, 572,224.20 and 230,897.16

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Solution

The fourth proportional to 414,659.88, 572,224.20 and 230,897.16 is: 318,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,659.88 : 572,224.20 = 230,897.16 : x
  2. Step 2: Convert to fraction form
    414,659.88/572,224.20 = 230,897.16/x
  3. Step 3: Cross multiply
    414,659.88x = 572,224.20 × 230,897.16
  4. Step 4: Simplify right side
    414,659.88x = 132,124,942,663.27
  5. Step 5: Solve for x
    x = 132,124,942,663.27/414,659.88
  6. Step 6: Final answer
    x = 318,634.50

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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.