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Finding the Fourth Proportional to 552,080.70, 827,100.45 and 314,718.30

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Solution

The fourth proportional to 552,080.70, 827,100.45 and 314,718.30 is: 471,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,080.70 : 827,100.45 = 314,718.30 : x
  2. Step 2: Convert to fraction form
    552,080.70/827,100.45 = 314,718.30/x
  3. Step 3: Cross multiply
    552,080.70x = 827,100.45 × 314,718.30
  4. Step 4: Simplify right side
    552,080.70x = 260,303,647,553.24
  5. Step 5: Solve for x
    x = 260,303,647,553.24/552,080.70
  6. Step 6: Final answer
    x = 471,495.65

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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.