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Finding the Fourth Proportional to 524,151.32, 786,074.94 and 204,231.83

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Solution

The fourth proportional to 524,151.32, 786,074.94 and 204,231.83 is: 306,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,151.32 : 786,074.94 = 204,231.83 : x
  2. Step 2: Convert to fraction form
    524,151.32/786,074.94 = 204,231.83/x
  3. Step 3: Cross multiply
    524,151.32x = 786,074.94 × 204,231.83
  4. Step 4: Simplify right side
    524,151.32x = 160,541,522,058.73
  5. Step 5: Solve for x
    x = 160,541,522,058.73/524,151.32
  6. Step 6: Final answer
    x = 306,288.50

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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.