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Finding the Fourth Proportional to 471,882.40, 706,268.40 and 366,128.80

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Solution

The fourth proportional to 471,882.40, 706,268.40 and 366,128.80 is: 547,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,882.40 : 706,268.40 = 366,128.80 : x
  2. Step 2: Convert to fraction form
    471,882.40/706,268.40 = 366,128.80/x
  3. Step 3: Cross multiply
    471,882.40x = 706,268.40 × 366,128.80
  4. Step 4: Simplify right side
    471,882.40x = 258,585,201,769.92
  5. Step 5: Solve for x
    x = 258,585,201,769.92/471,882.40
  6. Step 6: Final answer
    x = 547,986.54

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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.