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Finding the Fourth Proportional to 466,262.26, 643,442.86 and 275,287.92

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Solution

The fourth proportional to 466,262.26, 643,442.86 and 275,287.92 is: 379,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,262.26 : 643,442.86 = 275,287.92 : x
  2. Step 2: Convert to fraction form
    466,262.26/643,442.86 = 275,287.92/x
  3. Step 3: Cross multiply
    466,262.26x = 643,442.86 × 275,287.92
  4. Step 4: Simplify right side
    466,262.26x = 177,132,046,568.25
  5. Step 5: Solve for x
    x = 177,132,046,568.25/466,262.26
  6. Step 6: Final answer
    x = 379,897.89

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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.