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Finding the Fourth Proportional to 523,418.58, 722,260.26 and 293,929.38

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Solution

The fourth proportional to 523,418.58, 722,260.26 and 293,929.38 is: 405,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,418.58 : 722,260.26 = 293,929.38 : x
  2. Step 2: Convert to fraction form
    523,418.58/722,260.26 = 293,929.38/x
  3. Step 3: Cross multiply
    523,418.58x = 722,260.26 × 293,929.38
  4. Step 4: Simplify right side
    523,418.58x = 212,293,510,420.44
  5. Step 5: Solve for x
    x = 212,293,510,420.44/523,418.58
  6. Step 6: Final answer
    x = 405,590.32

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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.