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Finding the Fourth Proportional to 268,808.40, 403,212.60 and 185,864.40

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Solution

The fourth proportional to 268,808.40, 403,212.60 and 185,864.40 is: 278,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,808.40 : 403,212.60 = 185,864.40 : x
  2. Step 2: Convert to fraction form
    268,808.40/403,212.60 = 185,864.40/x
  3. Step 3: Cross multiply
    268,808.40x = 403,212.60 × 185,864.40
  4. Step 4: Simplify right side
    268,808.40x = 74,942,867,971.44
  5. Step 5: Solve for x
    x = 74,942,867,971.44/268,808.40
  6. Step 6: Final answer
    x = 278,796.60

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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.