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Finding the Fourth Proportional to 401,520.96, 602,180.64 and 164,928.96

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Solution

The fourth proportional to 401,520.96, 602,180.64 and 164,928.96 is: 247,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,520.96 : 602,180.64 = 164,928.96 : x
  2. Step 2: Convert to fraction form
    401,520.96/602,180.64 = 164,928.96/x
  3. Step 3: Cross multiply
    401,520.96x = 602,180.64 × 164,928.96
  4. Step 4: Simplify right side
    401,520.96x = 99,317,026,687.33
  5. Step 5: Solve for x
    x = 99,317,026,687.33/401,520.96
  6. Step 6: Final answer
    x = 247,352.04

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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.