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Finding the Fourth Proportional to 523,321.83, 722,174.94 and 293,880.96

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Solution

The fourth proportional to 523,321.83, 722,174.94 and 293,880.96 is: 405,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,321.83 : 722,174.94 = 293,880.96 : x
  2. Step 2: Convert to fraction form
    523,321.83/722,174.94 = 293,880.96/x
  3. Step 3: Cross multiply
    523,321.83x = 722,174.94 × 293,880.96
  4. Step 4: Simplify right side
    523,321.83x = 212,233,464,655.14
  5. Step 5: Solve for x
    x = 212,233,464,655.14/523,321.83
  6. Step 6: Final answer
    x = 405,550.57

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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.