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Finding the Fourth Proportional to 523,420.08, 722,262.33 and 293,930.88

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Solution

The fourth proportional to 523,420.08, 722,262.33 and 293,930.88 is: 405,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,420.08 : 722,262.33 = 293,930.88 : x
  2. Step 2: Convert to fraction form
    523,420.08/722,262.33 = 293,930.88/x
  3. Step 3: Cross multiply
    523,420.08x = 722,262.33 × 293,930.88
  4. Step 4: Simplify right side
    523,420.08x = 212,295,202,247.75
  5. Step 5: Solve for x
    x = 212,295,202,247.75/523,420.08
  6. Step 6: Final answer
    x = 405,592.39

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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.