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Finding the Fourth Proportional to 403,338.08, 605,098.16 and 133,465.52

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Solution

The fourth proportional to 403,338.08, 605,098.16 and 133,465.52 is: 200,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,338.08 : 605,098.16 = 133,465.52 : x
  2. Step 2: Convert to fraction form
    403,338.08/605,098.16 = 133,465.52/x
  3. Step 3: Cross multiply
    403,338.08x = 605,098.16 × 133,465.52
  4. Step 4: Simplify right side
    403,338.08x = 80,759,740,575.44
  5. Step 5: Solve for x
    x = 80,759,740,575.44/403,338.08
  6. Step 6: Final answer
    x = 200,228.41

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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.