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Finding the Fourth Proportional to 471,513.46, 650,677.17 and 270,296.50

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Solution

The fourth proportional to 471,513.46, 650,677.17 and 270,296.50 is: 373,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,513.46 : 650,677.17 = 270,296.50 : x
  2. Step 2: Convert to fraction form
    471,513.46/650,677.17 = 270,296.50/x
  3. Step 3: Cross multiply
    471,513.46x = 650,677.17 × 270,296.50
  4. Step 4: Simplify right side
    471,513.46x = 175,875,761,680.91
  5. Step 5: Solve for x
    x = 175,875,761,680.91/471,513.46
  6. Step 6: Final answer
    x = 373,002.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.