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Finding the Fourth Proportional to 410,158.91, 566,138.16 and 238,115.52

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Solution

The fourth proportional to 410,158.91, 566,138.16 and 238,115.52 is: 328,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,158.91 : 566,138.16 = 238,115.52 : x
  2. Step 2: Convert to fraction form
    410,158.91/566,138.16 = 238,115.52/x
  3. Step 3: Cross multiply
    410,158.91x = 566,138.16 × 238,115.52
  4. Step 4: Simplify right side
    410,158.91x = 134,806,282,360.24
  5. Step 5: Solve for x
    x = 134,806,282,360.24/410,158.91
  6. Step 6: Final answer
    x = 328,668.42

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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.