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Finding the Fourth Proportional to 489,279.80, 733,919.70 and 209,343.80

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Solution

The fourth proportional to 489,279.80, 733,919.70 and 209,343.80 is: 314,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,279.80 : 733,919.70 = 209,343.80 : x
  2. Step 2: Convert to fraction form
    489,279.80/733,919.70 = 209,343.80/x
  3. Step 3: Cross multiply
    489,279.80x = 733,919.70 × 209,343.80
  4. Step 4: Simplify right side
    489,279.80x = 153,641,538,892.86
  5. Step 5: Solve for x
    x = 153,641,538,892.86/489,279.80
  6. Step 6: Final answer
    x = 314,015.70

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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.