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Finding the Fourth Proportional to 378,048, 567,177.10 and 164,834.55

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Solution

The fourth proportional to 378,048, 567,177.10 and 164,834.55 is: 247,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,048 : 567,177.10 = 164,834.55 : x
  2. Step 2: Convert to fraction form
    378,048/567,177.10 = 164,834.55/x
  3. Step 3: Cross multiply
    378,048x = 567,177.10 × 164,834.55
  4. Step 4: Simplify right side
    378,048x = 93,490,381,224.63
  5. Step 5: Solve for x
    x = 93,490,381,224.63/378,048
  6. Step 6: Final answer
    x = 247,297.65

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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.