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Finding the Fourth Proportional to 442,906.38, 664,317.45 and 176,595.66

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Solution

The fourth proportional to 442,906.38, 664,317.45 and 176,595.66 is: 264,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.38 : 664,317.45 = 176,595.66 : x
  2. Step 2: Convert to fraction form
    442,906.38/664,317.45 = 176,595.66/x
  3. Step 3: Cross multiply
    442,906.38x = 664,317.45 × 176,595.66
  4. Step 4: Simplify right side
    442,906.38x = 117,315,578,532.27
  5. Step 5: Solve for x
    x = 117,315,578,532.27/442,906.38
  6. Step 6: Final answer
    x = 264,876.70

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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.