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Finding the Fourth Proportional to 457,366.38, 686,677.97 and 232,877.64

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Solution

The fourth proportional to 457,366.38, 686,677.97 and 232,877.64 is: 349,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,366.38 : 686,677.97 = 232,877.64 : x
  2. Step 2: Convert to fraction form
    457,366.38/686,677.97 = 232,877.64/x
  3. Step 3: Cross multiply
    457,366.38x = 686,677.97 × 232,877.64
  4. Step 4: Simplify right side
    457,366.38x = 159,911,945,093.59
  5. Step 5: Solve for x
    x = 159,911,945,093.59/457,366.38
  6. Step 6: Final answer
    x = 349,636.42

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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.