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Finding the Fourth Proportional to 542,666.80, 814,000.20 and 400,949.20

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Solution

The fourth proportional to 542,666.80, 814,000.20 and 400,949.20 is: 601,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,666.80 : 814,000.20 = 400,949.20 : x
  2. Step 2: Convert to fraction form
    542,666.80/814,000.20 = 400,949.20/x
  3. Step 3: Cross multiply
    542,666.80x = 814,000.20 × 400,949.20
  4. Step 4: Simplify right side
    542,666.80x = 326,372,728,989.84
  5. Step 5: Solve for x
    x = 326,372,728,989.84/542,666.80
  6. Step 6: Final answer
    x = 601,423.80

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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.