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Finding the Fourth Proportional to 470,982.69, 706,375.11 and 155,365.65

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Solution

The fourth proportional to 470,982.69, 706,375.11 and 155,365.65 is: 233,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,982.69 : 706,375.11 = 155,365.65 : x
  2. Step 2: Convert to fraction form
    470,982.69/706,375.11 = 155,365.65/x
  3. Step 3: Cross multiply
    470,982.69x = 706,375.11 × 155,365.65
  4. Step 4: Simplify right side
    470,982.69x = 109,746,428,108.97
  5. Step 5: Solve for x
    x = 109,746,428,108.97/470,982.69
  6. Step 6: Final answer
    x = 233,015.84

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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.