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Finding the Fourth Proportional to 478,049.44, 659,746.84 and 274,119.38

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Solution

The fourth proportional to 478,049.44, 659,746.84 and 274,119.38 is: 378,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,049.44 : 659,746.84 = 274,119.38 : x
  2. Step 2: Convert to fraction form
    478,049.44/659,746.84 = 274,119.38/x
  3. Step 3: Cross multiply
    478,049.44x = 659,746.84 × 274,119.38
  4. Step 4: Simplify right side
    478,049.44x = 180,849,394,737.76
  5. Step 5: Solve for x
    x = 180,849,394,737.76/478,049.44
  6. Step 6: Final answer
    x = 378,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.