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Finding the Fourth Proportional to 471,127.20, 706,472.10 and 204,750.60

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Solution

The fourth proportional to 471,127.20, 706,472.10 and 204,750.60 is: 307,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,127.20 : 706,472.10 = 204,750.60 : x
  2. Step 2: Convert to fraction form
    471,127.20/706,472.10 = 204,750.60/x
  3. Step 3: Cross multiply
    471,127.20x = 706,472.10 × 204,750.60
  4. Step 4: Simplify right side
    471,127.20x = 144,650,586,358.26
  5. Step 5: Solve for x
    x = 144,650,586,358.26/471,127.20
  6. Step 6: Final answer
    x = 307,030.85

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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.