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Finding the Fourth Proportional to 470,102.70, 705,614.85 and 233,712.30

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Solution

The fourth proportional to 470,102.70, 705,614.85 and 233,712.30 is: 350,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,102.70 : 705,614.85 = 233,712.30 : x
  2. Step 2: Convert to fraction form
    470,102.70/705,614.85 = 233,712.30/x
  3. Step 3: Cross multiply
    470,102.70x = 705,614.85 × 233,712.30
  4. Step 4: Simplify right side
    470,102.70x = 164,910,869,507.66
  5. Step 5: Solve for x
    x = 164,910,869,507.66/470,102.70
  6. Step 6: Final answer
    x = 350,797.54

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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.