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Finding the Fourth Proportional to 363,800.16, 502,053 and 202,657.80

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Solution

The fourth proportional to 363,800.16, 502,053 and 202,657.80 is: 279,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,800.16 : 502,053 = 202,657.80 : x
  2. Step 2: Convert to fraction form
    363,800.16/502,053 = 202,657.80/x
  3. Step 3: Cross multiply
    363,800.16x = 502,053 × 202,657.80
  4. Step 4: Simplify right side
    363,800.16x = 101,744,956,463.40
  5. Step 5: Solve for x
    x = 101,744,956,463.40/363,800.16
  6. Step 6: Final answer
    x = 279,672.65

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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.