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Finding the Fourth Proportional to 469,725.16, 704,650.46 and 137,296.36

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Solution

The fourth proportional to 469,725.16, 704,650.46 and 137,296.36 is: 205,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,725.16 : 704,650.46 = 137,296.36 : x
  2. Step 2: Convert to fraction form
    469,725.16/704,650.46 = 137,296.36/x
  3. Step 3: Cross multiply
    469,725.16x = 704,650.46 × 137,296.36
  4. Step 4: Simplify right side
    469,725.16x = 96,745,943,230.33
  5. Step 5: Solve for x
    x = 96,745,943,230.33/469,725.16
  6. Step 6: Final answer
    x = 205,962.87

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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.