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Finding the Fourth Proportional to 360,797.88, 497,971.50 and 217,581.24

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Solution

The fourth proportional to 360,797.88, 497,971.50 and 217,581.24 is: 300,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,797.88 : 497,971.50 = 217,581.24 : x
  2. Step 2: Convert to fraction form
    360,797.88/497,971.50 = 217,581.24/x
  3. Step 3: Cross multiply
    360,797.88x = 497,971.50 × 217,581.24
  4. Step 4: Simplify right side
    360,797.88x = 108,349,256,454.66
  5. Step 5: Solve for x
    x = 108,349,256,454.66/360,797.88
  6. Step 6: Final answer
    x = 300,304.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.