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Finding the Fourth Proportional to 464,351.82, 696,471.57 and 127,419.90

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Solution

The fourth proportional to 464,351.82, 696,471.57 and 127,419.90 is: 191,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,351.82 : 696,471.57 = 127,419.90 : x
  2. Step 2: Convert to fraction form
    464,351.82/696,471.57 = 127,419.90/x
  3. Step 3: Cross multiply
    464,351.82x = 696,471.57 × 127,419.90
  4. Step 4: Simplify right side
    464,351.82x = 88,744,337,802.24
  5. Step 5: Solve for x
    x = 88,744,337,802.24/464,351.82
  6. Step 6: Final answer
    x = 191,114.44

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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.