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Finding the Fourth Proportional to 401,257.33, 601,964.63 and 148,539.96

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Solution

The fourth proportional to 401,257.33, 601,964.63 and 148,539.96 is: 222,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,257.33 : 601,964.63 = 148,539.96 : x
  2. Step 2: Convert to fraction form
    401,257.33/601,964.63 = 148,539.96/x
  3. Step 3: Cross multiply
    401,257.33x = 601,964.63 × 148,539.96
  4. Step 4: Simplify right side
    401,257.33x = 89,415,801,875.94
  5. Step 5: Solve for x
    x = 89,415,801,875.94/401,257.33
  6. Step 6: Final answer
    x = 222,839.05

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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.