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Finding the Fourth Proportional to 552,244.96, 827,284.84 and 286,180

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Solution

The fourth proportional to 552,244.96, 827,284.84 and 286,180 is: 428,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,244.96 : 827,284.84 = 286,180 : x
  2. Step 2: Convert to fraction form
    552,244.96/827,284.84 = 286,180/x
  3. Step 3: Cross multiply
    552,244.96x = 827,284.84 × 286,180
  4. Step 4: Simplify right side
    552,244.96x = 236,752,375,511.20
  5. Step 5: Solve for x
    x = 236,752,375,511.20/552,244.96
  6. Step 6: Final answer
    x = 428,708.98

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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.