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Finding the Fourth Proportional to 653,692.64, 980,286.24 and 254,279.48

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Solution

The fourth proportional to 653,692.64, 980,286.24 and 254,279.48 is: 381,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,692.64 : 980,286.24 = 254,279.48 : x
  2. Step 2: Convert to fraction form
    653,692.64/980,286.24 = 254,279.48/x
  3. Step 3: Cross multiply
    653,692.64x = 980,286.24 × 254,279.48
  4. Step 4: Simplify right side
    653,692.64x = 249,266,675,358.36
  5. Step 5: Solve for x
    x = 249,266,675,358.36/653,692.64
  6. Step 6: Final answer
    x = 381,320.91

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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.