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Finding the Fourth Proportional to 470,422.67, 705,605.41 and 166,831.84

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Solution

The fourth proportional to 470,422.67, 705,605.41 and 166,831.84 is: 250,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,422.67 : 705,605.41 = 166,831.84 : x
  2. Step 2: Convert to fraction form
    470,422.67/705,605.41 = 166,831.84/x
  3. Step 3: Cross multiply
    470,422.67x = 705,605.41 × 166,831.84
  4. Step 4: Simplify right side
    470,422.67x = 117,717,448,864.25
  5. Step 5: Solve for x
    x = 117,717,448,864.25/470,422.67
  6. Step 6: Final answer
    x = 250,237.62

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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.