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Finding the Fourth Proportional to 653,709.40, 980,912.40 and 254,363.20

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Solution

The fourth proportional to 653,709.40, 980,912.40 and 254,363.20 is: 381,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,709.40 : 980,912.40 = 254,363.20 : x
  2. Step 2: Convert to fraction form
    653,709.40/980,912.40 = 254,363.20/x
  3. Step 3: Cross multiply
    653,709.40x = 980,912.40 × 254,363.20
  4. Step 4: Simplify right side
    653,709.40x = 249,508,016,983.68
  5. Step 5: Solve for x
    x = 249,508,016,983.68/653,709.40
  6. Step 6: Final answer
    x = 381,680.33

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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.