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Finding the Fourth Proportional to 542,821.60, 814,232.40 and 343,367.20

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Solution

The fourth proportional to 542,821.60, 814,232.40 and 343,367.20 is: 515,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,821.60 : 814,232.40 = 343,367.20 : x
  2. Step 2: Convert to fraction form
    542,821.60/814,232.40 = 343,367.20/x
  3. Step 3: Cross multiply
    542,821.60x = 814,232.40 × 343,367.20
  4. Step 4: Simplify right side
    542,821.60x = 279,580,699,337.28
  5. Step 5: Solve for x
    x = 279,580,699,337.28/542,821.60
  6. Step 6: Final answer
    x = 515,050.80

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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.