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Finding the Fourth Proportional to 418,032.49, 626,974.89 and 165,228.94

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Solution

The fourth proportional to 418,032.49, 626,974.89 and 165,228.94 is: 247,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,032.49 : 626,974.89 = 165,228.94 : x
  2. Step 2: Convert to fraction form
    418,032.49/626,974.89 = 165,228.94/x
  3. Step 3: Cross multiply
    418,032.49x = 626,974.89 × 165,228.94
  4. Step 4: Simplify right side
    418,032.49x = 103,594,396,481.32
  5. Step 5: Solve for x
    x = 103,594,396,481.32/418,032.49
  6. Step 6: Final answer
    x = 247,814.22

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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.