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Finding the Fourth Proportional to 354,171.96, 488,750.63 and 193,028.13

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Solution

The fourth proportional to 354,171.96, 488,750.63 and 193,028.13 is: 266,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,171.96 : 488,750.63 = 193,028.13 : x
  2. Step 2: Convert to fraction form
    354,171.96/488,750.63 = 193,028.13/x
  3. Step 3: Cross multiply
    354,171.96x = 488,750.63 × 193,028.13
  4. Step 4: Simplify right side
    354,171.96x = 94,342,619,180.08
  5. Step 5: Solve for x
    x = 94,342,619,180.08/354,171.96
  6. Step 6: Final answer
    x = 266,375.18

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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.