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Finding the Fourth Proportional to 540,677.18, 746,104.38 and 298,945.22

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Solution

The fourth proportional to 540,677.18, 746,104.38 and 298,945.22 is: 412,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,677.18 : 746,104.38 = 298,945.22 : x
  2. Step 2: Convert to fraction form
    540,677.18/746,104.38 = 298,945.22/x
  3. Step 3: Cross multiply
    540,677.18x = 746,104.38 × 298,945.22
  4. Step 4: Simplify right side
    540,677.18x = 223,044,338,022.06
  5. Step 5: Solve for x
    x = 223,044,338,022.06/540,677.18
  6. Step 6: Final answer
    x = 412,527.75

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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.