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Finding the Fourth Proportional to 401,015.41, 601,523.12 and 134,775.93

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Solution

The fourth proportional to 401,015.41, 601,523.12 and 134,775.93 is: 202,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,015.41 : 601,523.12 = 134,775.93 : x
  2. Step 2: Convert to fraction form
    401,015.41/601,523.12 = 134,775.93/x
  3. Step 3: Cross multiply
    401,015.41x = 601,523.12 × 134,775.93
  4. Step 4: Simplify right side
    401,015.41x = 81,070,834,233.01
  5. Step 5: Solve for x
    x = 81,070,834,233.01/401,015.41
  6. Step 6: Final answer
    x = 202,163.89

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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.