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Finding the Fourth Proportional to 511,722.16, 767,587.20 and 196,103.68

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Solution

The fourth proportional to 511,722.16, 767,587.20 and 196,103.68 is: 294,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,722.16 : 767,587.20 = 196,103.68 : x
  2. Step 2: Convert to fraction form
    511,722.16/767,587.20 = 196,103.68/x
  3. Step 3: Cross multiply
    511,722.16x = 767,587.20 × 196,103.68
  4. Step 4: Simplify right side
    511,722.16x = 150,526,674,640.90
  5. Step 5: Solve for x
    x = 150,526,674,640.90/511,722.16
  6. Step 6: Final answer
    x = 294,157.04

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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.