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Finding the Fourth Proportional to 405,834.91, 560,052.83 and 224,554.48

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Solution

The fourth proportional to 405,834.91, 560,052.83 and 224,554.48 is: 309,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,834.91 : 560,052.83 = 224,554.48 : x
  2. Step 2: Convert to fraction form
    405,834.91/560,052.83 = 224,554.48/x
  3. Step 3: Cross multiply
    405,834.91x = 560,052.83 × 224,554.48
  4. Step 4: Simplify right side
    405,834.91x = 125,762,372,013.18
  5. Step 5: Solve for x
    x = 125,762,372,013.18/405,834.91
  6. Step 6: Final answer
    x = 309,885.54

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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.