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Finding the Fourth Proportional to 433,437.80, 650,161.16 and 193,563.91

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Solution

The fourth proportional to 433,437.80, 650,161.16 and 193,563.91 is: 290,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,437.80 : 650,161.16 = 193,563.91 : x
  2. Step 2: Convert to fraction form
    433,437.80/650,161.16 = 193,563.91/x
  3. Step 3: Cross multiply
    433,437.80x = 650,161.16 × 193,563.91
  4. Step 4: Simplify right side
    433,437.80x = 125,847,734,914.65
  5. Step 5: Solve for x
    x = 125,847,734,914.65/433,437.80
  6. Step 6: Final answer
    x = 290,347.85

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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.