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Finding the Fourth Proportional to 599,322.71, 827,090.48 and 344,674.10

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Solution

The fourth proportional to 599,322.71, 827,090.48 and 344,674.10 is: 475,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,322.71 : 827,090.48 = 344,674.10 : x
  2. Step 2: Convert to fraction form
    599,322.71/827,090.48 = 344,674.10/x
  3. Step 3: Cross multiply
    599,322.71x = 827,090.48 × 344,674.10
  4. Step 4: Simplify right side
    599,322.71x = 285,076,666,812.57
  5. Step 5: Solve for x
    x = 285,076,666,812.57/599,322.71
  6. Step 6: Final answer
    x = 475,664.72

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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.