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Finding the Fourth Proportional to 462,954.78, 694,487.73 and 163,373.50

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Solution

The fourth proportional to 462,954.78, 694,487.73 and 163,373.50 is: 245,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,954.78 : 694,487.73 = 163,373.50 : x
  2. Step 2: Convert to fraction form
    462,954.78/694,487.73 = 163,373.50/x
  3. Step 3: Cross multiply
    462,954.78x = 694,487.73 × 163,373.50
  4. Step 4: Simplify right side
    462,954.78x = 113,460,891,157.16
  5. Step 5: Solve for x
    x = 113,460,891,157.16/462,954.78
  6. Step 6: Final answer
    x = 245,079.86

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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.