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Finding the Fourth Proportional to 520,049.70, 780,074.55 and 204,516.90

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Solution

The fourth proportional to 520,049.70, 780,074.55 and 204,516.90 is: 306,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,049.70 : 780,074.55 = 204,516.90 : x
  2. Step 2: Convert to fraction form
    520,049.70/780,074.55 = 204,516.90/x
  3. Step 3: Cross multiply
    520,049.70x = 780,074.55 × 204,516.90
  4. Step 4: Simplify right side
    520,049.70x = 159,538,428,734.90
  5. Step 5: Solve for x
    x = 159,538,428,734.90/520,049.70
  6. Step 6: Final answer
    x = 306,775.35

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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.