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Finding the Fourth Proportional to 365,257.13, 548,008.70 and 230,164.29

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Solution

The fourth proportional to 365,257.13, 548,008.70 and 230,164.29 is: 345,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,257.13 : 548,008.70 = 230,164.29 : x
  2. Step 2: Convert to fraction form
    365,257.13/548,008.70 = 230,164.29/x
  3. Step 3: Cross multiply
    365,257.13x = 548,008.70 × 230,164.29
  4. Step 4: Simplify right side
    365,257.13x = 126,132,032,198.50
  5. Step 5: Solve for x
    x = 126,132,032,198.50/365,257.13
  6. Step 6: Final answer
    x = 345,323.95

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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.