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Finding the Fourth Proportional to 285,504.08, 428,223 and 75,158.44

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Solution

The fourth proportional to 285,504.08, 428,223 and 75,158.44 is: 112,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,504.08 : 428,223 = 75,158.44 : x
  2. Step 2: Convert to fraction form
    285,504.08/428,223 = 75,158.44/x
  3. Step 3: Cross multiply
    285,504.08x = 428,223 × 75,158.44
  4. Step 4: Simplify right side
    285,504.08x = 32,184,572,652.12
  5. Step 5: Solve for x
    x = 32,184,572,652.12/285,504.08
  6. Step 6: Final answer
    x = 112,728.94

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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.