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Finding the Fourth Proportional to 402,823.13, 555,909.48 and 221,542.70

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Solution

The fourth proportional to 402,823.13, 555,909.48 and 221,542.70 is: 305,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,823.13 : 555,909.48 = 221,542.70 : x
  2. Step 2: Convert to fraction form
    402,823.13/555,909.48 = 221,542.70/x
  3. Step 3: Cross multiply
    402,823.13x = 555,909.48 × 221,542.70
  4. Step 4: Simplify right side
    402,823.13x = 123,157,684,375.25
  5. Step 5: Solve for x
    x = 123,157,684,375.25/402,823.13
  6. Step 6: Final answer
    x = 305,736.38

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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.