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Finding the Fourth Proportional to 389,648.53, 583,956.11 and 200,101.24

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Solution

The fourth proportional to 389,648.53, 583,956.11 and 200,101.24 is: 299,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,648.53 : 583,956.11 = 200,101.24 : x
  2. Step 2: Convert to fraction form
    389,648.53/583,956.11 = 200,101.24/x
  3. Step 3: Cross multiply
    389,648.53x = 583,956.11 × 200,101.24
  4. Step 4: Simplify right side
    389,648.53x = 116,850,341,716.58
  5. Step 5: Solve for x
    x = 116,850,341,716.58/389,648.53
  6. Step 6: Final answer
    x = 299,886.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.