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Finding the Fourth Proportional to 434,057.76, 598,982.92 and 243,061.38

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Solution

The fourth proportional to 434,057.76, 598,982.92 and 243,061.38 is: 335,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,057.76 : 598,982.92 = 243,061.38 : x
  2. Step 2: Convert to fraction form
    434,057.76/598,982.92 = 243,061.38/x
  3. Step 3: Cross multiply
    434,057.76x = 598,982.92 × 243,061.38
  4. Step 4: Simplify right side
    434,057.76x = 145,589,614,523.98
  5. Step 5: Solve for x
    x = 145,589,614,523.98/434,057.76
  6. Step 6: Final answer
    x = 335,415.30

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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.