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Finding the Fourth Proportional to 363,670.97, 501,870.85 and 202,530.06

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Solution

The fourth proportional to 363,670.97, 501,870.85 and 202,530.06 is: 279,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,670.97 : 501,870.85 = 202,530.06 : x
  2. Step 2: Convert to fraction form
    363,670.97/501,870.85 = 202,530.06/x
  3. Step 3: Cross multiply
    363,670.97x = 501,870.85 × 202,530.06
  4. Step 4: Simplify right side
    363,670.97x = 101,643,932,856.43
  5. Step 5: Solve for x
    x = 101,643,932,856.43/363,670.97
  6. Step 6: Final answer
    x = 279,494.22

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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.