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Finding the Fourth Proportional to 357,265.92, 535,202.28 and 199,017.84

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Solution

The fourth proportional to 357,265.92, 535,202.28 and 199,017.84 is: 298,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,265.92 : 535,202.28 = 199,017.84 : x
  2. Step 2: Convert to fraction form
    357,265.92/535,202.28 = 199,017.84/x
  3. Step 3: Cross multiply
    357,265.92x = 535,202.28 × 199,017.84
  4. Step 4: Simplify right side
    357,265.92x = 106,514,801,728.68
  5. Step 5: Solve for x
    x = 106,514,801,728.68/357,265.92
  6. Step 6: Final answer
    x = 298,138.71

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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.