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Finding the Fourth Proportional to 381,146.20, 526,014.06 and 211,435

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Solution

The fourth proportional to 381,146.20, 526,014.06 and 211,435 is: 291,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,146.20 : 526,014.06 = 211,435 : x
  2. Step 2: Convert to fraction form
    381,146.20/526,014.06 = 211,435/x
  3. Step 3: Cross multiply
    381,146.20x = 526,014.06 × 211,435
  4. Step 4: Simplify right side
    381,146.20x = 111,217,782,776.10
  5. Step 5: Solve for x
    x = 111,217,782,776.10/381,146.20
  6. Step 6: Final answer
    x = 291,798.22

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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.