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Finding the Fourth Proportional to 285,449.08, 428,233.74 and 107,952.16

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Solution

The fourth proportional to 285,449.08, 428,233.74 and 107,952.16 is: 161,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,449.08 : 428,233.74 = 107,952.16 : x
  2. Step 2: Convert to fraction form
    285,449.08/428,233.74 = 107,952.16/x
  3. Step 3: Cross multiply
    285,449.08x = 428,233.74 × 107,952.16
  4. Step 4: Simplify right side
    285,449.08x = 46,228,757,217.88
  5. Step 5: Solve for x
    x = 46,228,757,217.88/285,449.08
  6. Step 6: Final answer
    x = 161,950.98

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1.5x scale

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.