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Finding the Fourth Proportional to 552,246.96, 827,287.84 and 286,182

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Solution

The fourth proportional to 552,246.96, 827,287.84 and 286,182 is: 428,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,246.96 : 827,287.84 = 286,182 : x
  2. Step 2: Convert to fraction form
    552,246.96/827,287.84 = 286,182/x
  3. Step 3: Cross multiply
    552,246.96x = 827,287.84 × 286,182
  4. Step 4: Simplify right side
    552,246.96x = 236,754,888,626.88
  5. Step 5: Solve for x
    x = 236,754,888,626.88/552,246.96
  6. Step 6: Final answer
    x = 428,711.98

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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.