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Finding the Fourth Proportional to 253,809.97, 380,715.80 and 64,270.24

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Solution

The fourth proportional to 253,809.97, 380,715.80 and 64,270.24 is: 96,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,809.97 : 380,715.80 = 64,270.24 : x
  2. Step 2: Convert to fraction form
    253,809.97/380,715.80 = 64,270.24/x
  3. Step 3: Cross multiply
    253,809.97x = 380,715.80 × 64,270.24
  4. Step 4: Simplify right side
    253,809.97x = 24,468,694,564.65
  5. Step 5: Solve for x
    x = 24,468,694,564.65/253,809.97
  6. Step 6: Final answer
    x = 96,405.57

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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.