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Finding the Fourth Proportional to 462,006.56, 693,286.32 and 199,350.56

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Solution

The fourth proportional to 462,006.56, 693,286.32 and 199,350.56 is: 299,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,006.56 : 693,286.32 = 199,350.56 : x
  2. Step 2: Convert to fraction form
    462,006.56/693,286.32 = 199,350.56/x
  3. Step 3: Cross multiply
    462,006.56x = 693,286.32 × 199,350.56
  4. Step 4: Simplify right side
    462,006.56x = 138,207,018,613.12
  5. Step 5: Solve for x
    x = 138,207,018,613.12/462,006.56
  6. Step 6: Final answer
    x = 299,145.14

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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.