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Finding the Fourth Proportional to 462,344.98, 693,717.81 and 163,039.42

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Solution

The fourth proportional to 462,344.98, 693,717.81 and 163,039.42 is: 244,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,344.98 : 693,717.81 = 163,039.42 : x
  2. Step 2: Convert to fraction form
    462,344.98/693,717.81 = 163,039.42/x
  3. Step 3: Cross multiply
    462,344.98x = 693,717.81 × 163,039.42
  4. Step 4: Simplify right side
    462,344.98x = 113,103,349,386.07
  5. Step 5: Solve for x
    x = 113,103,349,386.07/462,344.98
  6. Step 6: Final answer
    x = 244,629.78

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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.