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Finding the Fourth Proportional to 325,815.90, 488,286.45 and 232,212.30

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Solution

The fourth proportional to 325,815.90, 488,286.45 and 232,212.30 is: 348,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,815.90 : 488,286.45 = 232,212.30 : x
  2. Step 2: Convert to fraction form
    325,815.90/488,286.45 = 232,212.30/x
  3. Step 3: Cross multiply
    325,815.90x = 488,286.45 × 232,212.30
  4. Step 4: Simplify right side
    325,815.90x = 113,386,119,613.34
  5. Step 5: Solve for x
    x = 113,386,119,613.34/325,815.90
  6. Step 6: Final answer
    x = 348,006.71

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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.