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Finding the Fourth Proportional to 462,896.96, 694,478.56 and 147,402.56

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Solution

The fourth proportional to 462,896.96, 694,478.56 and 147,402.56 is: 221,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,896.96 : 694,478.56 = 147,402.56 : x
  2. Step 2: Convert to fraction form
    462,896.96/694,478.56 = 147,402.56/x
  3. Step 3: Cross multiply
    462,896.96x = 694,478.56 × 147,402.56
  4. Step 4: Simplify right side
    462,896.96x = 102,367,917,609.11
  5. Step 5: Solve for x
    x = 102,367,917,609.11/462,896.96
  6. Step 6: Final answer
    x = 221,146.23

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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.