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Finding the Fourth Proportional to 457,710.14, 686,471.39 and 173,302.57

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Solution

The fourth proportional to 457,710.14, 686,471.39 and 173,302.57 is: 259,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,710.14 : 686,471.39 = 173,302.57 : x
  2. Step 2: Convert to fraction form
    457,710.14/686,471.39 = 173,302.57/x
  3. Step 3: Cross multiply
    457,710.14x = 686,471.39 × 173,302.57
  4. Step 4: Simplify right side
    457,710.14x = 118,967,256,759.93
  5. Step 5: Solve for x
    x = 118,967,256,759.93/457,710.14
  6. Step 6: Final answer
    x = 259,918.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.