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Finding the Fourth Proportional to 399,280.68, 597,966.22 and 230,288.67

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Solution

The fourth proportional to 399,280.68, 597,966.22 and 230,288.67 is: 344,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280.68 : 597,966.22 = 230,288.67 : x
  2. Step 2: Convert to fraction form
    399,280.68/597,966.22 = 230,288.67/x
  3. Step 3: Cross multiply
    399,280.68x = 597,966.22 × 230,288.67
  4. Step 4: Simplify right side
    399,280.68x = 137,704,845,508.73
  5. Step 5: Solve for x
    x = 137,704,845,508.73/399,280.68
  6. Step 6: Final answer
    x = 344,882.32

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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.