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Finding the Fourth Proportional to 532,760.24, 735,231.56 and 306,406

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Solution

The fourth proportional to 532,760.24, 735,231.56 and 306,406 is: 422,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,760.24 : 735,231.56 = 306,406 : x
  2. Step 2: Convert to fraction form
    532,760.24/735,231.56 = 306,406/x
  3. Step 3: Cross multiply
    532,760.24x = 735,231.56 × 306,406
  4. Step 4: Simplify right side
    532,760.24x = 225,279,361,373.36
  5. Step 5: Solve for x
    x = 225,279,361,373.36/532,760.24
  6. Step 6: Final answer
    x = 422,853.18

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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.