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Finding the Fourth Proportional to 405,928.79, 560,167.92 and 224,648.36

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Solution

The fourth proportional to 405,928.79, 560,167.92 and 224,648.36 is: 310,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,928.79 : 560,167.92 = 224,648.36 : x
  2. Step 2: Convert to fraction form
    405,928.79/560,167.92 = 224,648.36/x
  3. Step 3: Cross multiply
    405,928.79x = 560,167.92 × 224,648.36
  4. Step 4: Simplify right side
    405,928.79x = 125,840,801,751.77
  5. Step 5: Solve for x
    x = 125,840,801,751.77/405,928.79
  6. Step 6: Final answer
    x = 310,007.09

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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.