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Finding the Fourth Proportional to 514,820.81, 710,452.92 and 313,616.81

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Solution

The fourth proportional to 514,820.81, 710,452.92 and 313,616.81 is: 432,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,820.81 : 710,452.92 = 313,616.81 : x
  2. Step 2: Convert to fraction form
    514,820.81/710,452.92 = 313,616.81/x
  3. Step 3: Cross multiply
    514,820.81x = 710,452.92 × 313,616.81
  4. Step 4: Simplify right side
    514,820.81x = 222,809,981,377.78
  5. Step 5: Solve for x
    x = 222,809,981,377.78/514,820.81
  6. Step 6: Final answer
    x = 432,791.32

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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.