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Finding the Fourth Proportional to 517,010.18, 713,463.81 and 287,562.52

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Solution

The fourth proportional to 517,010.18, 713,463.81 and 287,562.52 is: 396,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,010.18 : 713,463.81 = 287,562.52 : x
  2. Step 2: Convert to fraction form
    517,010.18/713,463.81 = 287,562.52/x
  3. Step 3: Cross multiply
    517,010.18x = 713,463.81 × 287,562.52
  4. Step 4: Simplify right side
    517,010.18x = 205,165,451,132.40
  5. Step 5: Solve for x
    x = 205,165,451,132.40/517,010.18
  6. Step 6: Final answer
    x = 396,830.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.