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Finding the Fourth Proportional to 404,661.10, 606,991.65 and 194,709.10

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Solution

The fourth proportional to 404,661.10, 606,991.65 and 194,709.10 is: 292,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,661.10 : 606,991.65 = 194,709.10 : x
  2. Step 2: Convert to fraction form
    404,661.10/606,991.65 = 194,709.10/x
  3. Step 3: Cross multiply
    404,661.10x = 606,991.65 × 194,709.10
  4. Step 4: Simplify right side
    404,661.10x = 118,186,797,879.02
  5. Step 5: Solve for x
    x = 118,186,797,879.02/404,661.10
  6. Step 6: Final answer
    x = 292,063.65

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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.