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Finding the Fourth Proportional to 363,680.64, 501,795.72 and 208,560.24

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Solution

The fourth proportional to 363,680.64, 501,795.72 and 208,560.24 is: 287,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,680.64 : 501,795.72 = 208,560.24 : x
  2. Step 2: Convert to fraction form
    363,680.64/501,795.72 = 208,560.24/x
  3. Step 3: Cross multiply
    363,680.64x = 501,795.72 × 208,560.24
  4. Step 4: Simplify right side
    363,680.64x = 104,654,635,794.17
  5. Step 5: Solve for x
    x = 104,654,635,794.17/363,680.64
  6. Step 6: Final answer
    x = 287,765.21

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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.