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Finding the Fourth Proportional to 376,975.65, 565,408.80 and 110,708.40

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Solution

The fourth proportional to 376,975.65, 565,408.80 and 110,708.40 is: 166,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,975.65 : 565,408.80 = 110,708.40 : x
  2. Step 2: Convert to fraction form
    376,975.65/565,408.80 = 110,708.40/x
  3. Step 3: Cross multiply
    376,975.65x = 565,408.80 × 110,708.40
  4. Step 4: Simplify right side
    376,975.65x = 62,595,503,593.92
  5. Step 5: Solve for x
    x = 62,595,503,593.92/376,975.65
  6. Step 6: Final answer
    x = 166,046.54

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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.