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Finding the Fourth Proportional to 470,098.20, 705,608.10 and 233,707.80

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Solution

The fourth proportional to 470,098.20, 705,608.10 and 233,707.80 is: 350,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,098.20 : 705,608.10 = 233,707.80 : x
  2. Step 2: Convert to fraction form
    470,098.20/705,608.10 = 233,707.80/x
  3. Step 3: Cross multiply
    470,098.20x = 705,608.10 × 233,707.80
  4. Step 4: Simplify right side
    470,098.20x = 164,906,116,713.18
  5. Step 5: Solve for x
    x = 164,906,116,713.18/470,098.20
  6. Step 6: Final answer
    x = 350,790.79

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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.