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Finding the Fourth Proportional to 532,753.92, 735,222.33 and 306,399.42

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Solution

The fourth proportional to 532,753.92, 735,222.33 and 306,399.42 is: 422,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,753.92 : 735,222.33 = 306,399.42 : x
  2. Step 2: Convert to fraction form
    532,753.92/735,222.33 = 306,399.42/x
  3. Step 3: Cross multiply
    532,753.92x = 735,222.33 × 306,399.42
  4. Step 4: Simplify right side
    532,753.92x = 225,271,695,483.05
  5. Step 5: Solve for x
    x = 225,271,695,483.05/532,753.92
  6. Step 6: Final answer
    x = 422,843.81

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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.