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Finding the Fourth Proportional to 408,655.80, 612,983.70 and 159,337.80

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Solution

The fourth proportional to 408,655.80, 612,983.70 and 159,337.80 is: 239,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,655.80 : 612,983.70 = 159,337.80 : x
  2. Step 2: Convert to fraction form
    408,655.80/612,983.70 = 159,337.80/x
  3. Step 3: Cross multiply
    408,655.80x = 612,983.70 × 159,337.80
  4. Step 4: Simplify right side
    408,655.80x = 97,671,474,193.86
  5. Step 5: Solve for x
    x = 97,671,474,193.86/408,655.80
  6. Step 6: Final answer
    x = 239,006.70

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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.