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Finding the Fourth Proportional to 405,859.91, 560,087.33 and 224,579.48

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Solution

The fourth proportional to 405,859.91, 560,087.33 and 224,579.48 is: 309,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,859.91 : 560,087.33 = 224,579.48 : x
  2. Step 2: Convert to fraction form
    405,859.91/560,087.33 = 224,579.48/x
  3. Step 3: Cross multiply
    405,859.91x = 560,087.33 × 224,579.48
  4. Step 4: Simplify right side
    405,859.91x = 125,784,117,402.65
  5. Step 5: Solve for x
    x = 125,784,117,402.65/405,859.91
  6. Step 6: Final answer
    x = 309,920.04

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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.