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Finding the Fourth Proportional to 401,215.25, 601,398.61 and 148,333.32

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Solution

The fourth proportional to 401,215.25, 601,398.61 and 148,333.32 is: 222,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,215.25 : 601,398.61 = 148,333.32 : x
  2. Step 2: Convert to fraction form
    401,215.25/601,398.61 = 148,333.32/x
  3. Step 3: Cross multiply
    401,215.25x = 601,398.61 × 148,333.32
  4. Step 4: Simplify right side
    401,215.25x = 89,207,452,093.85
  5. Step 5: Solve for x
    x = 89,207,452,093.85/401,215.25
  6. Step 6: Final answer
    x = 222,343.12

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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.