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Finding the Fourth Proportional to 381,901.04, 573,013.56 and 204,362

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Solution

The fourth proportional to 381,901.04, 573,013.56 and 204,362 is: 306,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,901.04 : 573,013.56 = 204,362 : x
  2. Step 2: Convert to fraction form
    381,901.04/573,013.56 = 204,362/x
  3. Step 3: Cross multiply
    381,901.04x = 573,013.56 × 204,362
  4. Step 4: Simplify right side
    381,901.04x = 117,102,197,148.72
  5. Step 5: Solve for x
    x = 117,102,197,148.72/381,901.04
  6. Step 6: Final answer
    x = 306,629.69

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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.