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Finding the Fourth Proportional to 575,113.69, 862,257.97 and 219,828.25

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Solution

The fourth proportional to 575,113.69, 862,257.97 and 219,828.25 is: 329,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,113.69 : 862,257.97 = 219,828.25 : x
  2. Step 2: Convert to fraction form
    575,113.69/862,257.97 = 219,828.25/x
  3. Step 3: Cross multiply
    575,113.69x = 862,257.97 × 219,828.25
  4. Step 4: Simplify right side
    575,113.69x = 189,548,660,593.65
  5. Step 5: Solve for x
    x = 189,548,660,593.65/575,113.69
  6. Step 6: Final answer
    x = 329,584.68

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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.