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Finding the Fourth Proportional to 599,488.59, 827,663.32 and 385,006.77

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Solution

The fourth proportional to 599,488.59, 827,663.32 and 385,006.77 is: 531,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,488.59 : 827,663.32 = 385,006.77 : x
  2. Step 2: Convert to fraction form
    599,488.59/827,663.32 = 385,006.77/x
  3. Step 3: Cross multiply
    599,488.59x = 827,663.32 × 385,006.77
  4. Step 4: Simplify right side
    599,488.59x = 318,655,979,796.27
  5. Step 5: Solve for x
    x = 318,655,979,796.27/599,488.59
  6. Step 6: Final answer
    x = 531,546.36

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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.