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Finding the Fourth Proportional to 309,652.69, 464,479.76 and 85,016.20

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Solution

The fourth proportional to 309,652.69, 464,479.76 and 85,016.20 is: 127,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,652.69 : 464,479.76 = 85,016.20 : x
  2. Step 2: Convert to fraction form
    309,652.69/464,479.76 = 85,016.20/x
  3. Step 3: Cross multiply
    309,652.69x = 464,479.76 × 85,016.20
  4. Step 4: Simplify right side
    309,652.69x = 39,488,304,172.11
  5. Step 5: Solve for x
    x = 39,488,304,172.11/309,652.69
  6. Step 6: Final answer
    x = 127,524.50

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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.