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Finding the Fourth Proportional to 599,369, 827,152.98 and 344,719.88

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Solution

The fourth proportional to 599,369, 827,152.98 and 344,719.88 is: 475,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,369 : 827,152.98 = 344,719.88 : x
  2. Step 2: Convert to fraction form
    599,369/827,152.98 = 344,719.88/x
  3. Step 3: Cross multiply
    599,369x = 827,152.98 × 344,719.88
  4. Step 4: Simplify right side
    599,369x = 285,136,076,007.24
  5. Step 5: Solve for x
    x = 285,136,076,007.24/599,369
  6. Step 6: Final answer
    x = 475,727.10

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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.