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Finding the Fourth Proportional to 381,117.20, 525,974.04 and 211,406

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Solution

The fourth proportional to 381,117.20, 525,974.04 and 211,406 is: 291,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,117.20 : 525,974.04 = 211,406 : x
  2. Step 2: Convert to fraction form
    381,117.20/525,974.04 = 211,406/x
  3. Step 3: Cross multiply
    381,117.20x = 525,974.04 × 211,406
  4. Step 4: Simplify right side
    381,117.20x = 111,194,067,900.24
  5. Step 5: Solve for x
    x = 111,194,067,900.24/381,117.20
  6. Step 6: Final answer
    x = 291,758.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.