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Finding the Fourth Proportional to 457,859.33, 686,695.44 and 173,451.83

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Solution

The fourth proportional to 457,859.33, 686,695.44 and 173,451.83 is: 260,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,859.33 : 686,695.44 = 173,451.83 : x
  2. Step 2: Convert to fraction form
    457,859.33/686,695.44 = 173,451.83/x
  3. Step 3: Cross multiply
    457,859.33x = 686,695.44 × 173,451.83
  4. Step 4: Simplify right side
    457,859.33x = 119,108,580,720.66
  5. Step 5: Solve for x
    x = 119,108,580,720.66/457,859.33
  6. Step 6: Final answer
    x = 260,142.30

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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.