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Finding the Fourth Proportional to 325,822.80, 488,588.40 and 148,238.40

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Solution

The fourth proportional to 325,822.80, 488,588.40 and 148,238.40 is: 222,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,822.80 : 488,588.40 = 148,238.40 : x
  2. Step 2: Convert to fraction form
    325,822.80/488,588.40 = 148,238.40/x
  3. Step 3: Cross multiply
    325,822.80x = 488,588.40 × 148,238.40
  4. Step 4: Simplify right side
    325,822.80x = 72,427,562,674.56
  5. Step 5: Solve for x
    x = 72,427,562,674.56/325,822.80
  6. Step 6: Final answer
    x = 222,291.27

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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.