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Finding the Fourth Proportional to 552,189.38, 827,839.98 and 312,155.19

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Solution

The fourth proportional to 552,189.38, 827,839.98 and 312,155.19 is: 467,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,189.38 : 827,839.98 = 312,155.19 : x
  2. Step 2: Convert to fraction form
    552,189.38/827,839.98 = 312,155.19/x
  3. Step 3: Cross multiply
    552,189.38x = 827,839.98 × 312,155.19
  4. Step 4: Simplify right side
    552,189.38x = 258,414,546,246.50
  5. Step 5: Solve for x
    x = 258,414,546,246.50/552,189.38
  6. Step 6: Final answer
    x = 467,981.74

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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.