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Finding the Fourth Proportional to 381,141.20, 526,007.16 and 211,430

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Solution

The fourth proportional to 381,141.20, 526,007.16 and 211,430 is: 291,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,141.20 : 526,007.16 = 211,430 : x
  2. Step 2: Convert to fraction form
    381,141.20/526,007.16 = 211,430/x
  3. Step 3: Cross multiply
    381,141.20x = 526,007.16 × 211,430
  4. Step 4: Simplify right side
    381,141.20x = 111,213,693,838.80
  5. Step 5: Solve for x
    x = 111,213,693,838.80/381,141.20
  6. Step 6: Final answer
    x = 291,791.32

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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.