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Finding the Fourth Proportional to 363,781.88, 502,024.18 and 208,758.43

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Solution

The fourth proportional to 363,781.88, 502,024.18 and 208,758.43 is: 288,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,781.88 : 502,024.18 = 208,758.43 : x
  2. Step 2: Convert to fraction form
    363,781.88/502,024.18 = 208,758.43/x
  3. Step 3: Cross multiply
    363,781.88x = 502,024.18 × 208,758.43
  4. Step 4: Simplify right side
    363,781.88x = 104,801,779,638.84
  5. Step 5: Solve for x
    x = 104,801,779,638.84/363,781.88
  6. Step 6: Final answer
    x = 288,089.61

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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.