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Finding the Fourth Proportional to 462,963.78, 694,447.42 and 163,281.60

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Solution

The fourth proportional to 462,963.78, 694,447.42 and 163,281.60 is: 244,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,963.78 : 694,447.42 = 163,281.60 : x
  2. Step 2: Convert to fraction form
    462,963.78/694,447.42 = 163,281.60/x
  3. Step 3: Cross multiply
    462,963.78x = 694,447.42 × 163,281.60
  4. Step 4: Simplify right side
    462,963.78x = 113,390,485,853.47
  5. Step 5: Solve for x
    x = 113,390,485,853.47/462,963.78
  6. Step 6: Final answer
    x = 244,923.02

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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.