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Finding the Fourth Proportional to 354,162.33, 488,720.25 and 201,232.71

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Solution

The fourth proportional to 354,162.33, 488,720.25 and 201,232.71 is: 277,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,162.33 : 488,720.25 = 201,232.71 : x
  2. Step 2: Convert to fraction form
    354,162.33/488,720.25 = 201,232.71/x
  3. Step 3: Cross multiply
    354,162.33x = 488,720.25 × 201,232.71
  4. Step 4: Simplify right side
    354,162.33x = 98,346,500,339.38
  5. Step 5: Solve for x
    x = 98,346,500,339.38/354,162.33
  6. Step 6: Final answer
    x = 277,687.64

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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.