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Finding the Fourth Proportional to 391,287.35, 542,739.12 and 380,916.87

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Solution

The fourth proportional to 391,287.35, 542,739.12 and 380,916.87 is: 528,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,287.35 : 542,739.12 = 380,916.87 : x
  2. Step 2: Convert to fraction form
    391,287.35/542,739.12 = 380,916.87/x
  3. Step 3: Cross multiply
    391,287.35x = 542,739.12 × 380,916.87
  4. Step 4: Simplify right side
    391,287.35x = 206,738,486,816.95
  5. Step 5: Solve for x
    x = 206,738,486,816.95/391,287.35
  6. Step 6: Final answer
    x = 528,354.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.