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Finding the Fourth Proportional to 328,171.85, 492,340.80 and 91,514.55

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Solution

The fourth proportional to 328,171.85, 492,340.80 and 91,514.55 is: 137,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,171.85 : 492,340.80 = 91,514.55 : x
  2. Step 2: Convert to fraction form
    328,171.85/492,340.80 = 91,514.55/x
  3. Step 3: Cross multiply
    328,171.85x = 492,340.80 × 91,514.55
  4. Step 4: Simplify right side
    328,171.85x = 45,056,346,758.64
  5. Step 5: Solve for x
    x = 45,056,346,758.64/328,171.85
  6. Step 6: Final answer
    x = 137,294.98

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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.