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Finding the Fourth Proportional to 363,412.64, 501,504.41 and 202,267.76

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Solution

The fourth proportional to 363,412.64, 501,504.41 and 202,267.76 is: 279,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,412.64 : 501,504.41 = 202,267.76 : x
  2. Step 2: Convert to fraction form
    363,412.64/501,504.41 = 202,267.76/x
  3. Step 3: Cross multiply
    363,412.64x = 501,504.41 × 202,267.76
  4. Step 4: Simplify right side
    363,412.64x = 101,438,171,638.97
  5. Step 5: Solve for x
    x = 101,438,171,638.97/363,412.64
  6. Step 6: Final answer
    x = 279,126.70

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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.