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Finding the Fourth Proportional to 516,838.78, 713,238.11 and 287,391.14

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Solution

The fourth proportional to 516,838.78, 713,238.11 and 287,391.14 is: 396,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,838.78 : 713,238.11 = 287,391.14 : x
  2. Step 2: Convert to fraction form
    516,838.78/713,238.11 = 287,391.14/x
  3. Step 3: Cross multiply
    516,838.78x = 713,238.11 × 287,391.14
  4. Step 4: Simplify right side
    516,838.78x = 204,978,312,087.39
  5. Step 5: Solve for x
    x = 204,978,312,087.39/516,838.78
  6. Step 6: Final answer
    x = 396,600.10

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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.