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Finding the Fourth Proportional to 421,572.74, 582,051.22 and 249,546.56

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Solution

The fourth proportional to 421,572.74, 582,051.22 and 249,546.56 is: 344,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,572.74 : 582,051.22 = 249,546.56 : x
  2. Step 2: Convert to fraction form
    421,572.74/582,051.22 = 249,546.56/x
  3. Step 3: Cross multiply
    421,572.74x = 582,051.22 × 249,546.56
  4. Step 4: Simplify right side
    421,572.74x = 145,248,876,160.68
  5. Step 5: Solve for x
    x = 145,248,876,160.68/421,572.74
  6. Step 6: Final answer
    x = 344,540.49

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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.