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Finding the Fourth Proportional to 665,105.65, 997,805.90 and 191,754.07

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Solution

The fourth proportional to 665,105.65, 997,805.90 and 191,754.07 is: 287,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,105.65 : 997,805.90 = 191,754.07 : x
  2. Step 2: Convert to fraction form
    665,105.65/997,805.90 = 191,754.07/x
  3. Step 3: Cross multiply
    665,105.65x = 997,805.90 × 191,754.07
  4. Step 4: Simplify right side
    665,105.65x = 191,333,341,436.24
  5. Step 5: Solve for x
    x = 191,333,341,436.24/665,105.65
  6. Step 6: Final answer
    x = 287,673.61

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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.