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Finding the Fourth Proportional to 601,464.92, 902,301.60 and 202,144.64

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Solution

The fourth proportional to 601,464.92, 902,301.60 and 202,144.64 is: 303,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,464.92 : 902,301.60 = 202,144.64 : x
  2. Step 2: Convert to fraction form
    601,464.92/902,301.60 = 202,144.64/x
  3. Step 3: Cross multiply
    601,464.92x = 902,301.60 × 202,144.64
  4. Step 4: Simplify right side
    601,464.92x = 182,395,432,103.42
  5. Step 5: Solve for x
    x = 182,395,432,103.42/601,464.92
  6. Step 6: Final answer
    x = 303,251.99

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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.