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Finding the Fourth Proportional to 519,049.31, 716,288.12 and 292,694.87

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Solution

The fourth proportional to 519,049.31, 716,288.12 and 292,694.87 is: 403,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,049.31 : 716,288.12 = 292,694.87 : x
  2. Step 2: Convert to fraction form
    519,049.31/716,288.12 = 292,694.87/x
  3. Step 3: Cross multiply
    519,049.31x = 716,288.12 × 292,694.87
  4. Step 4: Simplify right side
    519,049.31x = 209,653,858,165.94
  5. Step 5: Solve for x
    x = 209,653,858,165.94/519,049.31
  6. Step 6: Final answer
    x = 403,918.96

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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.