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Finding the Fourth Proportional to 327,444, 491,166.24 and 130,590.24

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Solution

The fourth proportional to 327,444, 491,166.24 and 130,590.24 is: 195,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,444 : 491,166.24 = 130,590.24 : x
  2. Step 2: Convert to fraction form
    327,444/491,166.24 = 130,590.24/x
  3. Step 3: Cross multiply
    327,444x = 491,166.24 × 130,590.24
  4. Step 4: Simplify right side
    327,444x = 64,141,517,161.50
  5. Step 5: Solve for x
    x = 64,141,517,161.50/327,444
  6. Step 6: Final answer
    x = 195,885.46

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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.