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Finding the Fourth Proportional to 348,643.42, 523,245.41 and 180,213.15

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Solution

The fourth proportional to 348,643.42, 523,245.41 and 180,213.15 is: 270,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,643.42 : 523,245.41 = 180,213.15 : x
  2. Step 2: Convert to fraction form
    348,643.42/523,245.41 = 180,213.15/x
  3. Step 3: Cross multiply
    348,643.42x = 523,245.41 × 180,213.15
  4. Step 4: Simplify right side
    348,643.42x = 94,295,700,041.85
  5. Step 5: Solve for x
    x = 94,295,700,041.85/348,643.42
  6. Step 6: Final answer
    x = 270,464.59

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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.