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Finding the Fourth Proportional to 475,641.33, 713,474.99 and 138,673.85

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Solution

The fourth proportional to 475,641.33, 713,474.99 and 138,673.85 is: 208,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,641.33 : 713,474.99 = 138,673.85 : x
  2. Step 2: Convert to fraction form
    475,641.33/713,474.99 = 138,673.85/x
  3. Step 3: Cross multiply
    475,641.33x = 713,474.99 × 138,673.85
  4. Step 4: Simplify right side
    475,641.33x = 98,940,319,481.27
  5. Step 5: Solve for x
    x = 98,940,319,481.27/475,641.33
  6. Step 6: Final answer
    x = 208,014.55

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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.