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Finding the Fourth Proportional to 654,244.92, 980,785.76 and 254,793.40

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Solution

The fourth proportional to 654,244.92, 980,785.76 and 254,793.40 is: 381,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,244.92 : 980,785.76 = 254,793.40 : x
  2. Step 2: Convert to fraction form
    654,244.92/980,785.76 = 254,793.40/x
  3. Step 3: Cross multiply
    654,244.92x = 980,785.76 × 254,793.40
  4. Step 4: Simplify right side
    654,244.92x = 249,897,738,461.98
  5. Step 5: Solve for x
    x = 249,897,738,461.98/654,244.92
  6. Step 6: Final answer
    x = 381,963.59

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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.