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Finding the Fourth Proportional to 463,034.55, 694,602.87 and 147,418.05

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Solution

The fourth proportional to 463,034.55, 694,602.87 and 147,418.05 is: 221,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,034.55 : 694,602.87 = 147,418.05 : x
  2. Step 2: Convert to fraction form
    463,034.55/694,602.87 = 147,418.05/x
  3. Step 3: Cross multiply
    463,034.55x = 694,602.87 × 147,418.05
  4. Step 4: Simplify right side
    463,034.55x = 102,397,000,619.80
  5. Step 5: Solve for x
    x = 102,397,000,619.80/463,034.55
  6. Step 6: Final answer
    x = 221,143.33

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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.