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Finding the Fourth Proportional to 198,590.40, 297,856.80 and 58,334.40

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Solution

The fourth proportional to 198,590.40, 297,856.80 and 58,334.40 is: 87,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590.40 : 297,856.80 = 58,334.40 : x
  2. Step 2: Convert to fraction form
    198,590.40/297,856.80 = 58,334.40/x
  3. Step 3: Cross multiply
    198,590.40x = 297,856.80 × 58,334.40
  4. Step 4: Simplify right side
    198,590.40x = 17,375,297,713.92
  5. Step 5: Solve for x
    x = 17,375,297,713.92/198,590.40
  6. Step 6: Final answer
    x = 87,493.14

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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.