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Finding the Fourth Proportional to 457,543.35, 686,423.70 and 158,026.41

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Solution

The fourth proportional to 457,543.35, 686,423.70 and 158,026.41 is: 237,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,543.35 : 686,423.70 = 158,026.41 : x
  2. Step 2: Convert to fraction form
    457,543.35/686,423.70 = 158,026.41/x
  3. Step 3: Cross multiply
    457,543.35x = 686,423.70 × 158,026.41
  4. Step 4: Simplify right side
    457,543.35x = 108,473,073,049.92
  5. Step 5: Solve for x
    x = 108,473,073,049.92/457,543.35
  6. Step 6: Final answer
    x = 237,077.15

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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.