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Finding the Fourth Proportional to 397,898.24, 596,853.54 and 221,526.27

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Solution

The fourth proportional to 397,898.24, 596,853.54 and 221,526.27 is: 332,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,898.24 : 596,853.54 = 221,526.27 : x
  2. Step 2: Convert to fraction form
    397,898.24/596,853.54 = 221,526.27/x
  3. Step 3: Cross multiply
    397,898.24x = 596,853.54 × 221,526.27
  4. Step 4: Simplify right side
    397,898.24x = 132,218,738,452.50
  5. Step 5: Solve for x
    x = 132,218,738,452.50/397,898.24
  6. Step 6: Final answer
    x = 332,292.85

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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.