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Finding the Fourth Proportional to 353,733.72, 488,097.60 and 202,801.56

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Solution

The fourth proportional to 353,733.72, 488,097.60 and 202,801.56 is: 279,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,733.72 : 488,097.60 = 202,801.56 : x
  2. Step 2: Convert to fraction form
    353,733.72/488,097.60 = 202,801.56/x
  3. Step 3: Cross multiply
    353,733.72x = 488,097.60 × 202,801.56
  4. Step 4: Simplify right side
    353,733.72x = 98,986,954,712.26
  5. Step 5: Solve for x
    x = 98,986,954,712.26/353,733.72
  6. Step 6: Final answer
    x = 279,834.66

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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.