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Finding the Fourth Proportional to 462,433.31, 693,705.54 and 162,851.97

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Solution

The fourth proportional to 462,433.31, 693,705.54 and 162,851.97 is: 244,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,433.31 : 693,705.54 = 162,851.97 : x
  2. Step 2: Convert to fraction form
    462,433.31/693,705.54 = 162,851.97/x
  3. Step 3: Cross multiply
    462,433.31x = 693,705.54 × 162,851.97
  4. Step 4: Simplify right side
    462,433.31x = 112,971,313,788.91
  5. Step 5: Solve for x
    x = 112,971,313,788.91/462,433.31
  6. Step 6: Final answer
    x = 244,297.53

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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.