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Finding the Fourth Proportional to 540,394.92, 745,759.05 and 298,681.31

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Solution

The fourth proportional to 540,394.92, 745,759.05 and 298,681.31 is: 412,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,394.92 : 745,759.05 = 298,681.31 : x
  2. Step 2: Convert to fraction form
    540,394.92/745,759.05 = 298,681.31/x
  3. Step 3: Cross multiply
    540,394.92x = 745,759.05 × 298,681.31
  4. Step 4: Simplify right side
    540,394.92x = 222,744,286,269.56
  5. Step 5: Solve for x
    x = 222,744,286,269.56/540,394.92
  6. Step 6: Final answer
    x = 412,187.97

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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.