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Finding the Fourth Proportional to 540,472.86, 745,839.39 and 298,749.21

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Solution

The fourth proportional to 540,472.86, 745,839.39 and 298,749.21 is: 412,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,472.86 : 745,839.39 = 298,749.21 : x
  2. Step 2: Convert to fraction form
    540,472.86/745,839.39 = 298,749.21/x
  3. Step 3: Cross multiply
    540,472.86x = 745,839.39 × 298,749.21
  4. Step 4: Simplify right side
    540,472.86x = 222,818,928,549.38
  5. Step 5: Solve for x
    x = 222,818,928,549.38/540,472.86
  6. Step 6: Final answer
    x = 412,266.64

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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.