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Finding the Fourth Proportional to 400,171.82, 600,258.74 and 163,514.50

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Solution

The fourth proportional to 400,171.82, 600,258.74 and 163,514.50 is: 245,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,171.82 : 600,258.74 = 163,514.50 : x
  2. Step 2: Convert to fraction form
    400,171.82/600,258.74 = 163,514.50/x
  3. Step 3: Cross multiply
    400,171.82x = 600,258.74 × 163,514.50
  4. Step 4: Simplify right side
    400,171.82x = 98,151,007,741.73
  5. Step 5: Solve for x
    x = 98,151,007,741.73/400,171.82
  6. Step 6: Final answer
    x = 245,272.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.