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Finding the Fourth Proportional to 318,114.48, 477,249.76 and 158,265.84

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Solution

The fourth proportional to 318,114.48, 477,249.76 and 158,265.84 is: 237,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,114.48 : 477,249.76 = 158,265.84 : x
  2. Step 2: Convert to fraction form
    318,114.48/477,249.76 = 158,265.84/x
  3. Step 3: Cross multiply
    318,114.48x = 477,249.76 × 158,265.84
  4. Step 4: Simplify right side
    318,114.48x = 75,532,334,156.20
  5. Step 5: Solve for x
    x = 75,532,334,156.20/318,114.48
  6. Step 6: Final answer
    x = 237,437.59

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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.