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Finding the Fourth Proportional to 363,916.54, 502,190.54 and 202,767.46

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Solution

The fourth proportional to 363,916.54, 502,190.54 and 202,767.46 is: 279,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,916.54 : 502,190.54 = 202,767.46 : x
  2. Step 2: Convert to fraction form
    363,916.54/502,190.54 = 202,767.46/x
  3. Step 3: Cross multiply
    363,916.54x = 502,190.54 × 202,767.46
  4. Step 4: Simplify right side
    363,916.54x = 101,827,900,231.83
  5. Step 5: Solve for x
    x = 101,827,900,231.83/363,916.54
  6. Step 6: Final answer
    x = 279,811.14

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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.