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Finding the Fourth Proportional to 359,675.70, 496,364.49 and 196,341.90

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Solution

The fourth proportional to 359,675.70, 496,364.49 and 196,341.90 is: 270,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,675.70 : 496,364.49 = 196,341.90 : x
  2. Step 2: Convert to fraction form
    359,675.70/496,364.49 = 196,341.90/x
  3. Step 3: Cross multiply
    359,675.70x = 496,364.49 × 196,341.90
  4. Step 4: Simplify right side
    359,675.70x = 97,457,147,059.13
  5. Step 5: Solve for x
    x = 97,457,147,059.13/359,675.70
  6. Step 6: Final answer
    x = 270,958.39

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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.