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Finding the Fourth Proportional to 471,572.52, 650,770.14 and 256,714.20

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Solution

The fourth proportional to 471,572.52, 650,770.14 and 256,714.20 is: 354,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,572.52 : 650,770.14 = 256,714.20 : x
  2. Step 2: Convert to fraction form
    471,572.52/650,770.14 = 256,714.20/x
  3. Step 3: Cross multiply
    471,572.52x = 650,770.14 × 256,714.20
  4. Step 4: Simplify right side
    471,572.52x = 167,061,935,873.99
  5. Step 5: Solve for x
    x = 167,061,935,873.99/471,572.52
  6. Step 6: Final answer
    x = 354,265.63

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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.