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Finding the Fourth Proportional to 457,371.67, 686,685.92 and 232,882.95

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Solution

The fourth proportional to 457,371.67, 686,685.92 and 232,882.95 is: 349,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,371.67 : 686,685.92 = 232,882.95 : x
  2. Step 2: Convert to fraction form
    457,371.67/686,685.92 = 232,882.95/x
  3. Step 3: Cross multiply
    457,371.67x = 686,685.92 × 232,882.95
  4. Step 4: Simplify right side
    457,371.67x = 159,917,442,773.06
  5. Step 5: Solve for x
    x = 159,917,442,773.06/457,371.67
  6. Step 6: Final answer
    x = 349,644.40

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1.5x scale

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.