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Finding the Fourth Proportional to 304,409.77, 456,772.16 and 220,859.55

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Solution

The fourth proportional to 304,409.77, 456,772.16 and 220,859.55 is: 331,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.77 : 456,772.16 = 220,859.55 : x
  2. Step 2: Convert to fraction form
    304,409.77/456,772.16 = 220,859.55/x
  3. Step 3: Cross multiply
    304,409.77x = 456,772.16 × 220,859.55
  4. Step 4: Simplify right side
    304,409.77x = 100,882,490,321.97
  5. Step 5: Solve for x
    x = 100,882,490,321.97/304,409.77
  6. Step 6: Final answer
    x = 331,403.59

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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.