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Finding the Fourth Proportional to 401,344.80, 601,725.60 and 164,565.60

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Solution

The fourth proportional to 401,344.80, 601,725.60 and 164,565.60 is: 246,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,344.80 : 601,725.60 = 164,565.60 : x
  2. Step 2: Convert to fraction form
    401,344.80/601,725.60 = 164,565.60/x
  3. Step 3: Cross multiply
    401,344.80x = 601,725.60 × 164,565.60
  4. Step 4: Simplify right side
    401,344.80x = 99,023,334,399.36
  5. Step 5: Solve for x
    x = 99,023,334,399.36/401,344.80
  6. Step 6: Final answer
    x = 246,728.83

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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.