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Finding the Fourth Proportional to 285,065.78, 393,432.50 and 164,183.54

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Solution

The fourth proportional to 285,065.78, 393,432.50 and 164,183.54 is: 226,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,065.78 : 393,432.50 = 164,183.54 : x
  2. Step 2: Convert to fraction form
    285,065.78/393,432.50 = 164,183.54/x
  3. Step 3: Cross multiply
    285,065.78x = 393,432.50 × 164,183.54
  4. Step 4: Simplify right side
    285,065.78x = 64,595,140,601.05
  5. Step 5: Solve for x
    x = 64,595,140,601.05/285,065.78
  6. Step 6: Final answer
    x = 226,597.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.