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Finding the Fourth Proportional to 542,941.40, 814,509.30 and 227,430.20

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Solution

The fourth proportional to 542,941.40, 814,509.30 and 227,430.20 is: 341,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,941.40 : 814,509.30 = 227,430.20 : x
  2. Step 2: Convert to fraction form
    542,941.40/814,509.30 = 227,430.20/x
  3. Step 3: Cross multiply
    542,941.40x = 814,509.30 × 227,430.20
  4. Step 4: Simplify right side
    542,941.40x = 185,244,013,000.86
  5. Step 5: Solve for x
    x = 185,244,013,000.86/542,941.40
  6. Step 6: Final answer
    x = 341,186.02

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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.