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Finding the Fourth Proportional to 364,083.13, 502,451.73 and 202,939.35

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Solution

The fourth proportional to 364,083.13, 502,451.73 and 202,939.35 is: 280,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,083.13 : 502,451.73 = 202,939.35 : x
  2. Step 2: Convert to fraction form
    364,083.13/502,451.73 = 202,939.35/x
  3. Step 3: Cross multiply
    364,083.13x = 502,451.73 × 202,939.35
  4. Step 4: Simplify right side
    364,083.13x = 101,967,227,492.58
  5. Step 5: Solve for x
    x = 101,967,227,492.58/364,083.13
  6. Step 6: Final answer
    x = 280,065.78

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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.