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Finding the Fourth Proportional to 349,319.16, 523,540.32 and 149,404.50

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Solution

The fourth proportional to 349,319.16, 523,540.32 and 149,404.50 is: 223,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,319.16 : 523,540.32 = 149,404.50 : x
  2. Step 2: Convert to fraction form
    349,319.16/523,540.32 = 149,404.50/x
  3. Step 3: Cross multiply
    349,319.16x = 523,540.32 × 149,404.50
  4. Step 4: Simplify right side
    349,319.16x = 78,219,279,739.44
  5. Step 5: Solve for x
    x = 78,219,279,739.44/349,319.16
  6. Step 6: Final answer
    x = 223,919.24

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