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Finding the Fourth Proportional to 359,758.92, 496,459.42 and 196,409.85

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Solution

The fourth proportional to 359,758.92, 496,459.42 and 196,409.85 is: 271,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,758.92 : 496,459.42 = 196,409.85 : x
  2. Step 2: Convert to fraction form
    359,758.92/496,459.42 = 196,409.85/x
  3. Step 3: Cross multiply
    359,758.92x = 496,459.42 × 196,409.85
  4. Step 4: Simplify right side
    359,758.92x = 97,509,520,213.29
  5. Step 5: Solve for x
    x = 97,509,520,213.29/359,758.92
  6. Step 6: Final answer
    x = 271,041.29

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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.