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Finding the Fourth Proportional to 542,410.80, 813,616.20 and 343,345.20

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Solution

The fourth proportional to 542,410.80, 813,616.20 and 343,345.20 is: 515,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,410.80 : 813,616.20 = 343,345.20 : x
  2. Step 2: Convert to fraction form
    542,410.80/813,616.20 = 343,345.20/x
  3. Step 3: Cross multiply
    542,410.80x = 813,616.20 × 343,345.20
  4. Step 4: Simplify right side
    542,410.80x = 279,351,216,912.24
  5. Step 5: Solve for x
    x = 279,351,216,912.24/542,410.80
  6. Step 6: Final answer
    x = 515,017.80

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Similar ratio
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1.5x scale

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.