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Finding the Fourth Proportional to 465,387.89, 697,998.59 and 123,833.16

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Solution

The fourth proportional to 465,387.89, 697,998.59 and 123,833.16 is: 185,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,387.89 : 697,998.59 = 123,833.16 : x
  2. Step 2: Convert to fraction form
    465,387.89/697,998.59 = 123,833.16/x
  3. Step 3: Cross multiply
    465,387.89x = 697,998.59 × 123,833.16
  4. Step 4: Simplify right side
    465,387.89x = 86,435,370,456.08
  5. Step 5: Solve for x
    x = 86,435,370,456.08/465,387.89
  6. Step 6: Final answer
    x = 185,727.59

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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.