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Finding the Fourth Proportional to 322,562.82, 483,657.42 and 109,259.24

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Solution

The fourth proportional to 322,562.82, 483,657.42 and 109,259.24 is: 163,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,562.82 : 483,657.42 = 109,259.24 : x
  2. Step 2: Convert to fraction form
    322,562.82/483,657.42 = 109,259.24/x
  3. Step 3: Cross multiply
    322,562.82x = 483,657.42 × 109,259.24
  4. Step 4: Simplify right side
    322,562.82x = 52,844,040,374.12
  5. Step 5: Solve for x
    x = 52,844,040,374.12/322,562.82
  6. Step 6: Final answer
    x = 163,825.58

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1.5x scale

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.