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Finding the Fourth Proportional to 397,897.92, 596,853.12 and 221,525.92

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Solution

The fourth proportional to 397,897.92, 596,853.12 and 221,525.92 is: 332,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,897.92 : 596,853.12 = 221,525.92 : x
  2. Step 2: Convert to fraction form
    397,897.92/596,853.12 = 221,525.92/x
  3. Step 3: Cross multiply
    397,897.92x = 596,853.12 × 221,525.92
  4. Step 4: Simplify right side
    397,897.92x = 132,218,436,512.87
  5. Step 5: Solve for x
    x = 132,218,436,512.87/397,897.92
  6. Step 6: Final answer
    x = 332,292.35

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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.