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Finding the Fourth Proportional to 463,116.16, 694,666.92 and 147,568.54

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Solution

The fourth proportional to 463,116.16, 694,666.92 and 147,568.54 is: 221,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,116.16 : 694,666.92 = 147,568.54 : x
  2. Step 2: Convert to fraction form
    463,116.16/694,666.92 = 147,568.54/x
  3. Step 3: Cross multiply
    463,116.16x = 694,666.92 × 147,568.54
  4. Step 4: Simplify right side
    463,116.16x = 102,510,983,170.70
  5. Step 5: Solve for x
    x = 102,510,983,170.70/463,116.16
  6. Step 6: Final answer
    x = 221,350.48

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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.