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Finding the Fourth Proportional to 540,708.62, 746,163.09 and 298,983.15

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Solution

The fourth proportional to 540,708.62, 746,163.09 and 298,983.15 is: 412,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,708.62 : 746,163.09 = 298,983.15 : x
  2. Step 2: Convert to fraction form
    540,708.62/746,163.09 = 298,983.15/x
  3. Step 3: Cross multiply
    540,708.62x = 746,163.09 × 298,983.15
  4. Step 4: Simplify right side
    540,708.62x = 223,090,191,061.93
  5. Step 5: Solve for x
    x = 223,090,191,061.93/540,708.62
  6. Step 6: Final answer
    x = 412,588.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.