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Finding the Fourth Proportional to 363,797.16, 502,048.86 and 202,654.80

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Solution

The fourth proportional to 363,797.16, 502,048.86 and 202,654.80 is: 279,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,797.16 : 502,048.86 = 202,654.80 : x
  2. Step 2: Convert to fraction form
    363,797.16/502,048.86 = 202,654.80/x
  3. Step 3: Cross multiply
    363,797.16x = 502,048.86 × 202,654.80
  4. Step 4: Simplify right side
    363,797.16x = 101,742,611,313.53
  5. Step 5: Solve for x
    x = 101,742,611,313.53/363,797.16
  6. Step 6: Final answer
    x = 279,668.51

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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.