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Finding the Fourth Proportional to 766,473.86, 1,149,888.87 and 261,039.23

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Solution

The fourth proportional to 766,473.86, 1,149,888.87 and 261,039.23 is: 391,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,473.86 : 1,149,888.87 = 261,039.23 : x
  2. Step 2: Convert to fraction form
    766,473.86/1,149,888.87 = 261,039.23/x
  3. Step 3: Cross multiply
    766,473.86x = 1,149,888.87 × 261,039.23
  4. Step 4: Simplify right side
    766,473.86x = 300,166,108,085.09
  5. Step 5: Solve for x
    x = 300,166,108,085.09/766,473.86
  6. Step 6: Final answer
    x = 391,619.50

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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.