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Finding the Fourth Proportional to 520,051.10, 780,163.05 and 204,518.30

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Solution

The fourth proportional to 520,051.10, 780,163.05 and 204,518.30 is: 306,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.10 : 780,163.05 = 204,518.30 : x
  2. Step 2: Convert to fraction form
    520,051.10/780,163.05 = 204,518.30/x
  3. Step 3: Cross multiply
    520,051.10x = 780,163.05 × 204,518.30
  4. Step 4: Simplify right side
    520,051.10x = 159,557,620,708.82
  5. Step 5: Solve for x
    x = 159,557,620,708.82/520,051.10
  6. Step 6: Final answer
    x = 306,811.43

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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.