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Finding the Fourth Proportional to 542,907.40, 814,458.30 and 227,396.20

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Solution

The fourth proportional to 542,907.40, 814,458.30 and 227,396.20 is: 341,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,907.40 : 814,458.30 = 227,396.20 : x
  2. Step 2: Convert to fraction form
    542,907.40/814,458.30 = 227,396.20/x
  3. Step 3: Cross multiply
    542,907.40x = 814,458.30 × 227,396.20
  4. Step 4: Simplify right side
    542,907.40x = 185,204,722,478.46
  5. Step 5: Solve for x
    x = 185,204,722,478.46/542,907.40
  6. Step 6: Final answer
    x = 341,135.01

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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.