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Finding the Fourth Proportional to 463,145.40, 694,718.10 and 147,634.20

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Solution

The fourth proportional to 463,145.40, 694,718.10 and 147,634.20 is: 221,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,145.40 : 694,718.10 = 147,634.20 : x
  2. Step 2: Convert to fraction form
    463,145.40/694,718.10 = 147,634.20/x
  3. Step 3: Cross multiply
    463,145.40x = 694,718.10 × 147,634.20
  4. Step 4: Simplify right side
    463,145.40x = 102,564,150,919.02
  5. Step 5: Solve for x
    x = 102,564,150,919.02/463,145.40
  6. Step 6: Final answer
    x = 221,451.30

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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.