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Finding the Fourth Proportional to 433,258.96, 650,004.38 and 133,727.44

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Solution

The fourth proportional to 433,258.96, 650,004.38 and 133,727.44 is: 200,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,258.96 : 650,004.38 = 133,727.44 : x
  2. Step 2: Convert to fraction form
    433,258.96/650,004.38 = 133,727.44/x
  3. Step 3: Cross multiply
    433,258.96x = 650,004.38 × 133,727.44
  4. Step 4: Simplify right side
    433,258.96x = 86,923,421,726.19
  5. Step 5: Solve for x
    x = 86,923,421,726.19/433,258.96
  6. Step 6: Final answer
    x = 200,626.95

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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.