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Finding the Fourth Proportional to 462,798.92, 694,249.42 and 147,182.02

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Solution

The fourth proportional to 462,798.92, 694,249.42 and 147,182.02 is: 220,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,798.92 : 694,249.42 = 147,182.02 : x
  2. Step 2: Convert to fraction form
    462,798.92/694,249.42 = 147,182.02/x
  3. Step 3: Cross multiply
    462,798.92x = 694,249.42 × 147,182.02
  4. Step 4: Simplify right side
    462,798.92x = 102,181,032,019.43
  5. Step 5: Solve for x
    x = 102,181,032,019.43/462,798.92
  6. Step 6: Final answer
    x = 220,789.26

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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.