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Finding the Fourth Proportional to 401,665.50, 602,473.75 and 165,002.13

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Solution

The fourth proportional to 401,665.50, 602,473.75 and 165,002.13 is: 247,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,665.50 : 602,473.75 = 165,002.13 : x
  2. Step 2: Convert to fraction form
    401,665.50/602,473.75 = 165,002.13/x
  3. Step 3: Cross multiply
    401,665.50x = 602,473.75 × 165,002.13
  4. Step 4: Simplify right side
    401,665.50x = 99,409,451,606.58
  5. Step 5: Solve for x
    x = 99,409,451,606.58/401,665.50
  6. Step 6: Final answer
    x = 247,493.13

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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.