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Finding the Fourth Proportional to 253,991.24, 380,909.08 and 175,609.16

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Solution

The fourth proportional to 253,991.24, 380,909.08 and 175,609.16 is: 263,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,991.24 : 380,909.08 = 175,609.16 : x
  2. Step 2: Convert to fraction form
    253,991.24/380,909.08 = 175,609.16/x
  3. Step 3: Cross multiply
    253,991.24x = 380,909.08 × 175,609.16
  4. Step 4: Simplify right side
    253,991.24x = 66,891,123,575.17
  5. Step 5: Solve for x
    x = 66,891,123,575.17/253,991.24
  6. Step 6: Final answer
    x = 263,359.96

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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.