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Finding the Fourth Proportional to 433,555.54, 650,171.85 and 149,166.70

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Solution

The fourth proportional to 433,555.54, 650,171.85 and 149,166.70 is: 223,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,555.54 : 650,171.85 = 149,166.70 : x
  2. Step 2: Convert to fraction form
    433,555.54/650,171.85 = 149,166.70/x
  3. Step 3: Cross multiply
    433,555.54x = 650,171.85 × 149,166.70
  4. Step 4: Simplify right side
    433,555.54x = 96,983,989,297.40
  5. Step 5: Solve for x
    x = 96,983,989,297.40/433,555.54
  6. Step 6: Final answer
    x = 223,694.50

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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.