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Finding the Fourth Proportional to 309,722.40, 464,000.40 and 159,451.20

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Solution

The fourth proportional to 309,722.40, 464,000.40 and 159,451.20 is: 238,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,722.40 : 464,000.40 = 159,451.20 : x
  2. Step 2: Convert to fraction form
    309,722.40/464,000.40 = 159,451.20/x
  3. Step 3: Cross multiply
    309,722.40x = 464,000.40 × 159,451.20
  4. Step 4: Simplify right side
    309,722.40x = 73,985,420,580.48
  5. Step 5: Solve for x
    x = 73,985,420,580.48/309,722.40
  6. Step 6: Final answer
    x = 238,876.56

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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.