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Finding the Fourth Proportional to 353,735.71, 488,207.66 and 208,568.12

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Solution

The fourth proportional to 353,735.71, 488,207.66 and 208,568.12 is: 287,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,735.71 : 488,207.66 = 208,568.12 : x
  2. Step 2: Convert to fraction form
    353,735.71/488,207.66 = 208,568.12/x
  3. Step 3: Cross multiply
    353,735.71x = 488,207.66 × 208,568.12
  4. Step 4: Simplify right side
    353,735.71x = 101,824,550,331.92
  5. Step 5: Solve for x
    x = 101,824,550,331.92/353,735.71
  6. Step 6: Final answer
    x = 287,854.88

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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.