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Finding the Fourth Proportional to 803,116.16, 1,204,472 and 329,932.16

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Solution

The fourth proportional to 803,116.16, 1,204,472 and 329,932.16 is: 494,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,116.16 : 1,204,472 = 329,932.16 : x
  2. Step 2: Convert to fraction form
    803,116.16/1,204,472 = 329,932.16/x
  3. Step 3: Cross multiply
    803,116.16x = 1,204,472 × 329,932.16
  4. Step 4: Simplify right side
    803,116.16x = 397,394,048,619.52
  5. Step 5: Solve for x
    x = 397,394,048,619.52/803,116.16
  6. Step 6: Final answer
    x = 494,815.16

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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.