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Finding the Fourth Proportional to 401,484.10, 602,227.23 and 135,431.50

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Solution

The fourth proportional to 401,484.10, 602,227.23 and 135,431.50 is: 203,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,484.10 : 602,227.23 = 135,431.50 : x
  2. Step 2: Convert to fraction form
    401,484.10/602,227.23 = 135,431.50/x
  3. Step 3: Cross multiply
    401,484.10x = 602,227.23 × 135,431.50
  4. Step 4: Simplify right side
    401,484.10x = 81,560,537,099.75
  5. Step 5: Solve for x
    x = 81,560,537,099.75/401,484.10
  6. Step 6: Final answer
    x = 203,147.61

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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.