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Finding the Fourth Proportional to 470,147.70, 705,682.35 and 233,757.30

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Solution

The fourth proportional to 470,147.70, 705,682.35 and 233,757.30 is: 350,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,147.70 : 705,682.35 = 233,757.30 : x
  2. Step 2: Convert to fraction form
    470,147.70/705,682.35 = 233,757.30/x
  3. Step 3: Cross multiply
    470,147.70x = 705,682.35 × 233,757.30
  4. Step 4: Simplify right side
    470,147.70x = 164,958,400,793.66
  5. Step 5: Solve for x
    x = 164,958,400,793.66/470,147.70
  6. Step 6: Final answer
    x = 350,865.06

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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.