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Finding the Fourth Proportional to 542,807.60, 814,211.40 and 343,353.20

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Solution

The fourth proportional to 542,807.60, 814,211.40 and 343,353.20 is: 515,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,807.60 : 814,211.40 = 343,353.20 : x
  2. Step 2: Convert to fraction form
    542,807.60/814,211.40 = 343,353.20/x
  3. Step 3: Cross multiply
    542,807.60x = 814,211.40 × 343,353.20
  4. Step 4: Simplify right side
    542,807.60x = 279,562,089,666.48
  5. Step 5: Solve for x
    x = 279,562,089,666.48/542,807.60
  6. Step 6: Final answer
    x = 515,029.80

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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.