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Finding the Fourth Proportional to 520,033.16, 780,078.92 and 146,027

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Solution

The fourth proportional to 520,033.16, 780,078.92 and 146,027 is: 219,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,033.16 : 780,078.92 = 146,027 : x
  2. Step 2: Convert to fraction form
    520,033.16/780,078.92 = 146,027/x
  3. Step 3: Cross multiply
    520,033.16x = 780,078.92 × 146,027
  4. Step 4: Simplify right side
    520,033.16x = 113,912,584,450.84
  5. Step 5: Solve for x
    x = 113,912,584,450.84/520,033.16
  6. Step 6: Final answer
    x = 219,048.69

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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.