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Finding the Fourth Proportional to 401,074.53, 601,687.65 and 161,207.10

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Solution

The fourth proportional to 401,074.53, 601,687.65 and 161,207.10 is: 241,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,074.53 : 601,687.65 = 161,207.10 : x
  2. Step 2: Convert to fraction form
    401,074.53/601,687.65 = 161,207.10/x
  3. Step 3: Cross multiply
    401,074.53x = 601,687.65 × 161,207.10
  4. Step 4: Simplify right side
    401,074.53x = 96,996,321,766.84
  5. Step 5: Solve for x
    x = 96,996,321,766.84/401,074.53
  6. Step 6: Final answer
    x = 241,841.14

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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.