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Finding the Fourth Proportional to 542,614.27, 814,038.06 and 182,820.88

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Solution

The fourth proportional to 542,614.27, 814,038.06 and 182,820.88 is: 274,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,614.27 : 814,038.06 = 182,820.88 : x
  2. Step 2: Convert to fraction form
    542,614.27/814,038.06 = 182,820.88/x
  3. Step 3: Cross multiply
    542,614.27x = 814,038.06 × 182,820.88
  4. Step 4: Simplify right side
    542,614.27x = 148,823,150,412.50
  5. Step 5: Solve for x
    x = 148,823,150,412.50/542,614.27
  6. Step 6: Final answer
    x = 274,270.62

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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.