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Finding the Fourth Proportional to 401,258.33, 601,966.13 and 148,540.96

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Solution

The fourth proportional to 401,258.33, 601,966.13 and 148,540.96 is: 222,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,258.33 : 601,966.13 = 148,540.96 : x
  2. Step 2: Convert to fraction form
    401,258.33/601,966.13 = 148,540.96/x
  3. Step 3: Cross multiply
    401,258.33x = 601,966.13 × 148,540.96
  4. Step 4: Simplify right side
    401,258.33x = 89,416,626,837.68
  5. Step 5: Solve for x
    x = 89,416,626,837.68/401,258.33
  6. Step 6: Final answer
    x = 222,840.55

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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.