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Finding the Fourth Proportional to 457,713.52, 686,476.42 and 173,305.96

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Solution

The fourth proportional to 457,713.52, 686,476.42 and 173,305.96 is: 259,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,713.52 : 686,476.42 = 173,305.96 : x
  2. Step 2: Convert to fraction form
    457,713.52/686,476.42 = 173,305.96/x
  3. Step 3: Cross multiply
    457,713.52x = 686,476.42 × 173,305.96
  4. Step 4: Simplify right side
    457,713.52x = 118,970,452,836.01
  5. Step 5: Solve for x
    x = 118,970,452,836.01/457,713.52
  6. Step 6: Final answer
    x = 259,923.40

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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.