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Finding the Fourth Proportional to 803,120.16, 1,204,478 and 329,936.16

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Solution

The fourth proportional to 803,120.16, 1,204,478 and 329,936.16 is: 494,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,120.16 : 1,204,478 = 329,936.16 : x
  2. Step 2: Convert to fraction form
    803,120.16/1,204,478 = 329,936.16/x
  3. Step 3: Cross multiply
    803,120.16x = 1,204,478 × 329,936.16
  4. Step 4: Simplify right side
    803,120.16x = 397,400,846,124.48
  5. Step 5: Solve for x
    x = 397,400,846,124.48/803,120.16
  6. Step 6: Final answer
    x = 494,821.16

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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.