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Finding the Fourth Proportional to 403,645.60, 605,468.40 and 166,866.40

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Solution

The fourth proportional to 403,645.60, 605,468.40 and 166,866.40 is: 250,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,645.60 : 605,468.40 = 166,866.40 : x
  2. Step 2: Convert to fraction form
    403,645.60/605,468.40 = 166,866.40/x
  3. Step 3: Cross multiply
    403,645.60x = 605,468.40 × 166,866.40
  4. Step 4: Simplify right side
    403,645.60x = 101,032,332,221.76
  5. Step 5: Solve for x
    x = 101,032,332,221.76/403,645.60
  6. Step 6: Final answer
    x = 250,299.60

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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.