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Finding the Fourth Proportional to 552,082.70, 827,103.45 and 314,720.30

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Solution

The fourth proportional to 552,082.70, 827,103.45 and 314,720.30 is: 471,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,082.70 : 827,103.45 = 314,720.30 : x
  2. Step 2: Convert to fraction form
    552,082.70/827,103.45 = 314,720.30/x
  3. Step 3: Cross multiply
    552,082.70x = 827,103.45 × 314,720.30
  4. Step 4: Simplify right side
    552,082.70x = 260,306,245,915.04
  5. Step 5: Solve for x
    x = 260,306,245,915.04/552,082.70
  6. Step 6: Final answer
    x = 471,498.65

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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.