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Finding the Fourth Proportional to 445,716.16, 668,672.65 and 165,233.41

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Solution

The fourth proportional to 445,716.16, 668,672.65 and 165,233.41 is: 247,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,716.16 : 668,672.65 = 165,233.41 : x
  2. Step 2: Convert to fraction form
    445,716.16/668,672.65 = 165,233.41/x
  3. Step 3: Cross multiply
    445,716.16x = 668,672.65 × 165,233.41
  4. Step 4: Simplify right side
    445,716.16x = 110,487,062,133.24
  5. Step 5: Solve for x
    x = 110,487,062,133.24/445,716.16
  6. Step 6: Final answer
    x = 247,886.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.