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Finding the Fourth Proportional to 463,116.66, 694,667.40 and 147,569.28

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Solution

The fourth proportional to 463,116.66, 694,667.40 and 147,569.28 is: 221,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,116.66 : 694,667.40 = 147,569.28 : x
  2. Step 2: Convert to fraction form
    463,116.66/694,667.40 = 147,569.28/x
  3. Step 3: Cross multiply
    463,116.66x = 694,667.40 × 147,569.28
  4. Step 4: Simplify right side
    463,116.66x = 102,511,568,057.47
  5. Step 5: Solve for x
    x = 102,511,568,057.47/463,116.66
  6. Step 6: Final answer
    x = 221,351.50

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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.