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Finding the Fourth Proportional to 359,436.50, 496,022.38 and 200,460.50

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Solution

The fourth proportional to 359,436.50, 496,022.38 and 200,460.50 is: 276,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,436.50 : 496,022.38 = 200,460.50 : x
  2. Step 2: Convert to fraction form
    359,436.50/496,022.38 = 200,460.50/x
  3. Step 3: Cross multiply
    359,436.50x = 496,022.38 × 200,460.50
  4. Step 4: Simplify right side
    359,436.50x = 99,432,894,305.99
  5. Step 5: Solve for x
    x = 99,432,894,305.99/359,436.50
  6. Step 6: Final answer
    x = 276,635.50

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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.