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Finding the Fourth Proportional to 542,728.42, 813,518.08 and 182,556.41

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Solution

The fourth proportional to 542,728.42, 813,518.08 and 182,556.41 is: 273,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,728.42 : 813,518.08 = 182,556.41 : x
  2. Step 2: Convert to fraction form
    542,728.42/813,518.08 = 182,556.41/x
  3. Step 3: Cross multiply
    542,728.42x = 813,518.08 × 182,556.41
  4. Step 4: Simplify right side
    542,728.42x = 148,512,935,630.91
  5. Step 5: Solve for x
    x = 148,512,935,630.91/542,728.42
  6. Step 6: Final answer
    x = 273,641.35

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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.