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Finding the Fourth Proportional to 540,588.96, 746,028.33 and 298,887.13

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Solution

The fourth proportional to 540,588.96, 746,028.33 and 298,887.13 is: 412,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,588.96 : 746,028.33 = 298,887.13 : x
  2. Step 2: Convert to fraction form
    540,588.96/746,028.33 = 298,887.13/x
  3. Step 3: Cross multiply
    540,588.96x = 746,028.33 × 298,887.13
  4. Step 4: Simplify right side
    540,588.96x = 222,978,270,370.83
  5. Step 5: Solve for x
    x = 222,978,270,370.83/540,588.96
  6. Step 6: Final answer
    x = 412,472.85

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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.