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Finding the Fourth Proportional to 599,322.59, 827,090.31 and 344,673.98

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Solution

The fourth proportional to 599,322.59, 827,090.31 and 344,673.98 is: 475,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,322.59 : 827,090.31 = 344,673.98 : x
  2. Step 2: Convert to fraction form
    599,322.59/827,090.31 = 344,673.98/x
  3. Step 3: Cross multiply
    599,322.59x = 827,090.31 × 344,673.98
  4. Step 4: Simplify right side
    599,322.59x = 285,076,508,967.13
  5. Step 5: Solve for x
    x = 285,076,508,967.13/599,322.59
  6. Step 6: Final answer
    x = 475,664.55

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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.