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Finding the Fourth Proportional to 381,510.64, 526,465.04 and 226,468.44

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Solution

The fourth proportional to 381,510.64, 526,465.04 and 226,468.44 is: 312,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,510.64 : 526,465.04 = 226,468.44 : x
  2. Step 2: Convert to fraction form
    381,510.64/526,465.04 = 226,468.44/x
  3. Step 3: Cross multiply
    381,510.64x = 526,465.04 × 226,468.44
  4. Step 4: Simplify right side
    381,510.64x = 119,227,716,323.34
  5. Step 5: Solve for x
    x = 119,227,716,323.34/381,510.64
  6. Step 6: Final answer
    x = 312,514.79

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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.