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Finding the Fourth Proportional to 552,080.20, 827,099.70 and 314,717.80

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Solution

The fourth proportional to 552,080.20, 827,099.70 and 314,717.80 is: 471,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,080.20 : 827,099.70 = 314,717.80 : x
  2. Step 2: Convert to fraction form
    552,080.20/827,099.70 = 314,717.80/x
  3. Step 3: Cross multiply
    552,080.20x = 827,099.70 × 314,717.80
  4. Step 4: Simplify right side
    552,080.20x = 260,302,997,964.66
  5. Step 5: Solve for x
    x = 260,302,997,964.66/552,080.20
  6. Step 6: Final answer
    x = 471,494.90

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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.