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Finding the Fourth Proportional to 501,345.36, 691,813.17 and 294,591.83

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Solution

The fourth proportional to 501,345.36, 691,813.17 and 294,591.83 is: 406,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,345.36 : 691,813.17 = 294,591.83 : x
  2. Step 2: Convert to fraction form
    501,345.36/691,813.17 = 294,591.83/x
  3. Step 3: Cross multiply
    501,345.36x = 691,813.17 × 294,591.83
  4. Step 4: Simplify right side
    501,345.36x = 203,802,504,309.34
  5. Step 5: Solve for x
    x = 203,802,504,309.34/501,345.36
  6. Step 6: Final answer
    x = 406,511.20

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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.