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Finding the Fourth Proportional to 381,253.01, 526,192.13 and 211,541.81

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Solution

The fourth proportional to 381,253.01, 526,192.13 and 211,541.81 is: 291,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,253.01 : 526,192.13 = 211,541.81 : x
  2. Step 2: Convert to fraction form
    381,253.01/526,192.13 = 211,541.81/x
  3. Step 3: Cross multiply
    381,253.01x = 526,192.13 × 211,541.81
  4. Step 4: Simplify right side
    381,253.01x = 111,311,633,485.85
  5. Step 5: Solve for x
    x = 111,311,633,485.85/381,253.01
  6. Step 6: Final answer
    x = 291,962.64

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Why These Related Problems?

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