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Finding the Fourth Proportional to 349,288.44, 523,494.54 and 149,374.14

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Solution

The fourth proportional to 349,288.44, 523,494.54 and 149,374.14 is: 223,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,288.44 : 523,494.54 = 149,374.14 : x
  2. Step 2: Convert to fraction form
    349,288.44/523,494.54 = 149,374.14/x
  3. Step 3: Cross multiply
    349,288.44x = 523,494.54 × 149,374.14
  4. Step 4: Simplify right side
    349,288.44x = 78,196,546,707.20
  5. Step 5: Solve for x
    x = 78,196,546,707.20/349,288.44
  6. Step 6: Final answer
    x = 223,873.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.