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Finding the Fourth Proportional to 546,876.20, 820,314.30 and 472,080.80

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Solution

The fourth proportional to 546,876.20, 820,314.30 and 472,080.80 is: 708,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,876.20 : 820,314.30 = 472,080.80 : x
  2. Step 2: Convert to fraction form
    546,876.20/820,314.30 = 472,080.80/x
  3. Step 3: Cross multiply
    546,876.20x = 820,314.30 × 472,080.80
  4. Step 4: Simplify right side
    546,876.20x = 387,254,630,995.44
  5. Step 5: Solve for x
    x = 387,254,630,995.44/546,876.20
  6. Step 6: Final answer
    x = 708,121.20

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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.