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Finding the Fourth Proportional to 401,071.88, 601,295.57 and 198,528.24

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Solution

The fourth proportional to 401,071.88, 601,295.57 and 198,528.24 is: 297,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,071.88 : 601,295.57 = 198,528.24 : x
  2. Step 2: Convert to fraction form
    401,071.88/601,295.57 = 198,528.24/x
  3. Step 3: Cross multiply
    401,071.88x = 601,295.57 × 198,528.24
  4. Step 4: Simplify right side
    401,071.88x = 119,374,147,232.78
  5. Step 5: Solve for x
    x = 119,374,147,232.78/401,071.88
  6. Step 6: Final answer
    x = 297,637.79

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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.