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Finding the Fourth Proportional to 462,648.96, 694,042.52 and 147,116.16

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Solution

The fourth proportional to 462,648.96, 694,042.52 and 147,116.16 is: 220,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,648.96 : 694,042.52 = 147,116.16 : x
  2. Step 2: Convert to fraction form
    462,648.96/694,042.52 = 147,116.16/x
  3. Step 3: Cross multiply
    462,648.96x = 694,042.52 × 147,116.16
  4. Step 4: Simplify right side
    462,648.96x = 102,104,870,419.12
  5. Step 5: Solve for x
    x = 102,104,870,419.12/462,648.96
  6. Step 6: Final answer
    x = 220,696.21

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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.