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Finding the Fourth Proportional to 353,853.24, 488,362.14 and 202,947

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Solution

The fourth proportional to 353,853.24, 488,362.14 and 202,947 is: 280,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,853.24 : 488,362.14 = 202,947 : x
  2. Step 2: Convert to fraction form
    353,853.24/488,362.14 = 202,947/x
  3. Step 3: Cross multiply
    353,853.24x = 488,362.14 × 202,947
  4. Step 4: Simplify right side
    353,853.24x = 99,111,631,226.58
  5. Step 5: Solve for x
    x = 99,111,631,226.58/353,853.24
  6. Step 6: Final answer
    x = 280,092.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.