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Finding the Fourth Proportional to 599,329.96, 827,100.48 and 344,681.34

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Solution

The fourth proportional to 599,329.96, 827,100.48 and 344,681.34 is: 475,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,329.96 : 827,100.48 = 344,681.34 : x
  2. Step 2: Convert to fraction form
    599,329.96/827,100.48 = 344,681.34/x
  3. Step 3: Cross multiply
    599,329.96x = 827,100.48 × 344,681.34
  4. Step 4: Simplify right side
    599,329.96x = 285,086,101,761.04
  5. Step 5: Solve for x
    x = 285,086,101,761.04/599,329.96
  6. Step 6: Final answer
    x = 475,674.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.