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Finding the Fourth Proportional to 410,887.65, 616,339.59 and 186,206.61

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Solution

The fourth proportional to 410,887.65, 616,339.59 and 186,206.61 is: 279,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,887.65 : 616,339.59 = 186,206.61 : x
  2. Step 2: Convert to fraction form
    410,887.65/616,339.59 = 186,206.61/x
  3. Step 3: Cross multiply
    410,887.65x = 616,339.59 × 186,206.61
  4. Step 4: Simplify right side
    410,887.65x = 114,766,505,662.69
  5. Step 5: Solve for x
    x = 114,766,505,662.69/410,887.65
  6. Step 6: Final answer
    x = 279,313.59

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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.