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Finding the Fourth Proportional to 599,323.84, 827,092.04 and 344,675.23

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Solution

The fourth proportional to 599,323.84, 827,092.04 and 344,675.23 is: 475,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,323.84 : 827,092.04 = 344,675.23 : x
  2. Step 2: Convert to fraction form
    599,323.84/827,092.04 = 344,675.23/x
  3. Step 3: Cross multiply
    599,323.84x = 827,092.04 × 344,675.23
  4. Step 4: Simplify right side
    599,323.84x = 285,078,139,118.17
  5. Step 5: Solve for x
    x = 285,078,139,118.17/599,323.84
  6. Step 6: Final answer
    x = 475,666.28

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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.