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Finding the Fourth Proportional to 363,918.16, 502,235.94 and 200,603.71

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Solution

The fourth proportional to 363,918.16, 502,235.94 and 200,603.71 is: 276,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,918.16 : 502,235.94 = 200,603.71 : x
  2. Step 2: Convert to fraction form
    363,918.16/502,235.94 = 200,603.71/x
  3. Step 3: Cross multiply
    363,918.16x = 502,235.94 × 200,603.71
  4. Step 4: Simplify right side
    363,918.16x = 100,750,392,859.34
  5. Step 5: Solve for x
    x = 100,750,392,859.34/363,918.16
  6. Step 6: Final answer
    x = 276,849.04

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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.