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Finding the Fourth Proportional to 542,082.80, 813,124.20 and 402,114.80

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Solution

The fourth proportional to 542,082.80, 813,124.20 and 402,114.80 is: 603,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,082.80 : 813,124.20 = 402,114.80 : x
  2. Step 2: Convert to fraction form
    542,082.80/813,124.20 = 402,114.80/x
  3. Step 3: Cross multiply
    542,082.80x = 813,124.20 × 402,114.80
  4. Step 4: Simplify right side
    542,082.80x = 326,969,275,058.16
  5. Step 5: Solve for x
    x = 326,969,275,058.16/542,082.80
  6. Step 6: Final answer
    x = 603,172.20

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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.