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Finding the Fourth Proportional to 354,171.12, 488,741.91 and 193,022.72

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Solution

The fourth proportional to 354,171.12, 488,741.91 and 193,022.72 is: 266,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,171.12 : 488,741.91 = 193,022.72 : x
  2. Step 2: Convert to fraction form
    354,171.12/488,741.91 = 193,022.72/x
  3. Step 3: Cross multiply
    354,171.12x = 488,741.91 × 193,022.72
  4. Step 4: Simplify right side
    354,171.12x = 94,338,292,846.20
  5. Step 5: Solve for x
    x = 94,338,292,846.20/354,171.12
  6. Step 6: Final answer
    x = 266,363.60

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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.