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Finding the Fourth Proportional to 599,736.17, 827,100.21 and 497,599.93

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Solution

The fourth proportional to 599,736.17, 827,100.21 and 497,599.93 is: 686,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,736.17 : 827,100.21 = 497,599.93 : x
  2. Step 2: Convert to fraction form
    599,736.17/827,100.21 = 497,599.93/x
  3. Step 3: Cross multiply
    599,736.17x = 827,100.21 × 497,599.93
  4. Step 4: Simplify right side
    599,736.17x = 411,565,004,846.42
  5. Step 5: Solve for x
    x = 411,565,004,846.42/599,736.17
  6. Step 6: Final answer
    x = 686,243.43

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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.