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Finding the Fourth Proportional to 442,771.38, 664,352.19 and 232,358.58

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Solution

The fourth proportional to 442,771.38, 664,352.19 and 232,358.58 is: 348,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,771.38 : 664,352.19 = 232,358.58 : x
  2. Step 2: Convert to fraction form
    442,771.38/664,352.19 = 232,358.58/x
  3. Step 3: Cross multiply
    442,771.38x = 664,352.19 × 232,358.58
  4. Step 4: Simplify right side
    442,771.38x = 154,367,931,488.29
  5. Step 5: Solve for x
    x = 154,367,931,488.29/442,771.38
  6. Step 6: Final answer
    x = 348,640.27

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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.