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Finding the Fourth Proportional to 398,792.56, 598,301.82 and 162,304.96

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Solution

The fourth proportional to 398,792.56, 598,301.82 and 162,304.96 is: 243,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,792.56 : 598,301.82 = 162,304.96 : x
  2. Step 2: Convert to fraction form
    398,792.56/598,301.82 = 162,304.96/x
  3. Step 3: Cross multiply
    398,792.56x = 598,301.82 × 162,304.96
  4. Step 4: Simplify right side
    398,792.56x = 97,107,352,963.03
  5. Step 5: Solve for x
    x = 97,107,352,963.03/398,792.56
  6. Step 6: Final answer
    x = 243,503.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.