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Finding the Fourth Proportional to 417,777.12, 576,471.60 and 238,894.56

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Solution

The fourth proportional to 417,777.12, 576,471.60 and 238,894.56 is: 329,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,777.12 : 576,471.60 = 238,894.56 : x
  2. Step 2: Convert to fraction form
    417,777.12/576,471.60 = 238,894.56/x
  3. Step 3: Cross multiply
    417,777.12x = 576,471.60 × 238,894.56
  4. Step 4: Simplify right side
    417,777.12x = 137,715,929,234.50
  5. Step 5: Solve for x
    x = 137,715,929,234.50/417,777.12
  6. Step 6: Final answer
    x = 329,639.71

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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.