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Finding the Fourth Proportional to 462,796.93, 694,246.42 and 147,180.02

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Solution

The fourth proportional to 462,796.93, 694,246.42 and 147,180.02 is: 220,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,796.93 : 694,246.42 = 147,180.02 : x
  2. Step 2: Convert to fraction form
    462,796.93/694,246.42 = 147,180.02/x
  3. Step 3: Cross multiply
    462,796.93x = 694,246.42 × 147,180.02
  4. Step 4: Simplify right side
    462,796.93x = 102,179,201,980.53
  5. Step 5: Solve for x
    x = 102,179,201,980.53/462,796.93
  6. Step 6: Final answer
    x = 220,786.26

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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.