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Finding the Fourth Proportional to 376,205.83, 564,327.20 and 151,535.92

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Solution

The fourth proportional to 376,205.83, 564,327.20 and 151,535.92 is: 227,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,205.83 : 564,327.20 = 151,535.92 : x
  2. Step 2: Convert to fraction form
    376,205.83/564,327.20 = 151,535.92/x
  3. Step 3: Cross multiply
    376,205.83x = 564,327.20 × 151,535.92
  4. Step 4: Simplify right side
    376,205.83x = 85,515,841,433.02
  5. Step 5: Solve for x
    x = 85,515,841,433.02/376,205.83
  6. Step 6: Final answer
    x = 227,311.31

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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.