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Finding the Fourth Proportional to 653,197.46, 979,701.14 and 203,813.78

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Solution

The fourth proportional to 653,197.46, 979,701.14 and 203,813.78 is: 305,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,197.46 : 979,701.14 = 203,813.78 : x
  2. Step 2: Convert to fraction form
    653,197.46/979,701.14 = 203,813.78/x
  3. Step 3: Cross multiply
    653,197.46x = 979,701.14 × 203,813.78
  4. Step 4: Simplify right side
    653,197.46x = 199,676,587,715.20
  5. Step 5: Solve for x
    x = 199,676,587,715.20/653,197.46
  6. Step 6: Final answer
    x = 305,691.01

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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.