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Finding the Fourth Proportional to 381,015.10, 532,721.30 and 381,015.10

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Solution

The fourth proportional to 381,015.10, 532,721.30 and 381,015.10 is: 532,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,015.10 : 532,721.30 = 381,015.10 : x
  2. Step 2: Convert to fraction form
    381,015.10/532,721.30 = 381,015.10/x
  3. Step 3: Cross multiply
    381,015.10x = 532,721.30 × 381,015.10
  4. Step 4: Simplify right side
    381,015.10x = 202,974,859,391.63
  5. Step 5: Solve for x
    x = 202,974,859,391.63/381,015.10
  6. Step 6: Final answer
    x = 532,721.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.