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Finding the Fourth Proportional to 329,109.32, 493,290.76 and 151,248.78

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Solution

The fourth proportional to 329,109.32, 493,290.76 and 151,248.78 is: 226,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,109.32 : 493,290.76 = 151,248.78 : x
  2. Step 2: Convert to fraction form
    329,109.32/493,290.76 = 151,248.78/x
  3. Step 3: Cross multiply
    329,109.32x = 493,290.76 × 151,248.78
  4. Step 4: Simplify right side
    329,109.32x = 74,609,625,635.27
  5. Step 5: Solve for x
    x = 74,609,625,635.27/329,109.32
  6. Step 6: Final answer
    x = 226,701.65

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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.