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Finding the Fourth Proportional to 513,752.48, 708,945.72 and 281,132.24

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Solution

The fourth proportional to 513,752.48, 708,945.72 and 281,132.24 is: 387,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,752.48 : 708,945.72 = 281,132.24 : x
  2. Step 2: Convert to fraction form
    513,752.48/708,945.72 = 281,132.24/x
  3. Step 3: Cross multiply
    513,752.48x = 708,945.72 × 281,132.24
  4. Step 4: Simplify right side
    513,752.48x = 199,307,498,302.01
  5. Step 5: Solve for x
    x = 199,307,498,302.01/513,752.48
  6. Step 6: Final answer
    x = 387,944.60

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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.