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Finding the Fourth Proportional to 295,293.60, 407,251.80 and 187,822.80

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Solution

The fourth proportional to 295,293.60, 407,251.80 and 187,822.80 is: 259,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,293.60 : 407,251.80 = 187,822.80 : x
  2. Step 2: Convert to fraction form
    295,293.60/407,251.80 = 187,822.80/x
  3. Step 3: Cross multiply
    295,293.60x = 407,251.80 × 187,822.80
  4. Step 4: Simplify right side
    295,293.60x = 76,491,173,381.04
  5. Step 5: Solve for x
    x = 76,491,173,381.04/295,293.60
  6. Step 6: Final answer
    x = 259,034.31

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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.