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Finding the Fourth Proportional to 463,103.36, 694,655.52 and 147,560

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Solution

The fourth proportional to 463,103.36, 694,655.52 and 147,560 is: 221,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,103.36 : 694,655.52 = 147,560 : x
  2. Step 2: Convert to fraction form
    463,103.36/694,655.52 = 147,560/x
  3. Step 3: Cross multiply
    463,103.36x = 694,655.52 × 147,560
  4. Step 4: Simplify right side
    463,103.36x = 102,503,368,531.20
  5. Step 5: Solve for x
    x = 102,503,368,531.20/463,103.36
  6. Step 6: Final answer
    x = 221,340.15

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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.