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Finding the Fourth Proportional to 306,246.23, 459,462.59 and 156,591.65

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Solution

The fourth proportional to 306,246.23, 459,462.59 and 156,591.65 is: 234,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,246.23 : 459,462.59 = 156,591.65 : x
  2. Step 2: Convert to fraction form
    306,246.23/459,462.59 = 156,591.65/x
  3. Step 3: Cross multiply
    306,246.23x = 459,462.59 × 156,591.65
  4. Step 4: Simplify right side
    306,246.23x = 71,948,002,001.10
  5. Step 5: Solve for x
    x = 71,948,002,001.10/306,246.23
  6. Step 6: Final answer
    x = 234,935.15

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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.