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Finding the Fourth Proportional to 349,468.12, 482,238.66 and 194,424.76

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Solution

The fourth proportional to 349,468.12, 482,238.66 and 194,424.76 is: 268,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,468.12 : 482,238.66 = 194,424.76 : x
  2. Step 2: Convert to fraction form
    349,468.12/482,238.66 = 194,424.76/x
  3. Step 3: Cross multiply
    349,468.12x = 482,238.66 × 194,424.76
  4. Step 4: Simplify right side
    349,468.12x = 93,759,135,733.22
  5. Step 5: Solve for x
    x = 93,759,135,733.22/349,468.12
  6. Step 6: Final answer
    x = 268,290.96

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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.