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Finding the Fourth Proportional to 463,247.16, 694,723.11 and 147,630.25

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Solution

The fourth proportional to 463,247.16, 694,723.11 and 147,630.25 is: 221,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,247.16 : 694,723.11 = 147,630.25 : x
  2. Step 2: Convert to fraction form
    463,247.16/694,723.11 = 147,630.25/x
  3. Step 3: Cross multiply
    463,247.16x = 694,723.11 × 147,630.25
  4. Step 4: Simplify right side
    463,247.16x = 102,562,146,410.08
  5. Step 5: Solve for x
    x = 102,562,146,410.08/463,247.16
  6. Step 6: Final answer
    x = 221,398.33

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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.