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Finding the Fourth Proportional to 449,045.71, 673,680.17 and 133,502.11

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Solution

The fourth proportional to 449,045.71, 673,680.17 and 133,502.11 is: 200,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,045.71 : 673,680.17 = 133,502.11 : x
  2. Step 2: Convert to fraction form
    449,045.71/673,680.17 = 133,502.11/x
  3. Step 3: Cross multiply
    449,045.71x = 673,680.17 × 133,502.11
  4. Step 4: Simplify right side
    449,045.71x = 89,937,724,160.16
  5. Step 5: Solve for x
    x = 89,937,724,160.16/449,045.71
  6. Step 6: Final answer
    x = 200,286.35

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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.