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Finding the Fourth Proportional to 381,153.20, 526,023.72 and 211,442

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Solution

The fourth proportional to 381,153.20, 526,023.72 and 211,442 is: 291,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,153.20 : 526,023.72 = 211,442 : x
  2. Step 2: Convert to fraction form
    381,153.20/526,023.72 = 211,442/x
  3. Step 3: Cross multiply
    381,153.20x = 526,023.72 × 211,442
  4. Step 4: Simplify right side
    381,153.20x = 111,223,507,404.24
  5. Step 5: Solve for x
    x = 111,223,507,404.24/381,153.20
  6. Step 6: Final answer
    x = 291,807.88

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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.