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Finding the Fourth Proportional to 334,885.10, 501,452.85 and 319,138.70

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Solution

The fourth proportional to 334,885.10, 501,452.85 and 319,138.70 is: 477,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,885.10 : 501,452.85 = 319,138.70 : x
  2. Step 2: Convert to fraction form
    334,885.10/501,452.85 = 319,138.70/x
  3. Step 3: Cross multiply
    334,885.10x = 501,452.85 × 319,138.70
  4. Step 4: Simplify right side
    334,885.10x = 160,033,010,660.30
  5. Step 5: Solve for x
    x = 160,033,010,660.30/334,885.10
  6. Step 6: Final answer
    x = 477,874.38

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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.