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Finding the Fourth Proportional to 469,983.44, 705,091.80 and 137,559.44

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Solution

The fourth proportional to 469,983.44, 705,091.80 and 137,559.44 is: 206,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,983.44 : 705,091.80 = 137,559.44 : x
  2. Step 2: Convert to fraction form
    469,983.44/705,091.80 = 137,559.44/x
  3. Step 3: Cross multiply
    469,983.44x = 705,091.80 × 137,559.44
  4. Step 4: Simplify right side
    469,983.44x = 96,992,033,156.59
  5. Step 5: Solve for x
    x = 96,992,033,156.59/469,983.44
  6. Step 6: Final answer
    x = 206,373.30

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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.