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Finding the Fourth Proportional to 353,951.52, 488,453.76 and 210,716.52

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Solution

The fourth proportional to 353,951.52, 488,453.76 and 210,716.52 is: 290,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,951.52 : 488,453.76 = 210,716.52 : x
  2. Step 2: Convert to fraction form
    353,951.52/488,453.76 = 210,716.52/x
  3. Step 3: Cross multiply
    353,951.52x = 488,453.76 × 210,716.52
  4. Step 4: Simplify right side
    353,951.52x = 102,925,276,488.12
  5. Step 5: Solve for x
    x = 102,925,276,488.12/353,951.52
  6. Step 6: Final answer
    x = 290,789.19

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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.