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Finding the Fourth Proportional to 405,842.87, 560,079.66 and 224,551.85

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Solution

The fourth proportional to 405,842.87, 560,079.66 and 224,551.85 is: 309,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.87 : 560,079.66 = 224,551.85 : x
  2. Step 2: Convert to fraction form
    405,842.87/560,079.66 = 224,551.85/x
  3. Step 3: Cross multiply
    405,842.87x = 560,079.66 × 224,551.85
  4. Step 4: Simplify right side
    405,842.87x = 125,766,920,999.97
  5. Step 5: Solve for x
    x = 125,766,920,999.97/405,842.87
  6. Step 6: Final answer
    x = 309,890.68

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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.