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Finding the Fourth Proportional to 463,071.66, 694,600.20 and 147,526.44

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Solution

The fourth proportional to 463,071.66, 694,600.20 and 147,526.44 is: 221,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,071.66 : 694,600.20 = 147,526.44 : x
  2. Step 2: Convert to fraction form
    463,071.66/694,600.20 = 147,526.44/x
  3. Step 3: Cross multiply
    463,071.66x = 694,600.20 × 147,526.44
  4. Step 4: Simplify right side
    463,071.66x = 102,471,894,729.29
  5. Step 5: Solve for x
    x = 102,471,894,729.29/463,071.66
  6. Step 6: Final answer
    x = 221,287.34

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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.