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Finding the Fourth Proportional to 523,297.92, 722,233.44 and 319,392.96

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Solution

The fourth proportional to 523,297.92, 722,233.44 and 319,392.96 is: 440,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,297.92 : 722,233.44 = 319,392.96 : x
  2. Step 2: Convert to fraction form
    523,297.92/722,233.44 = 319,392.96/x
  3. Step 3: Cross multiply
    523,297.92x = 722,233.44 × 319,392.96
  4. Step 4: Simplify right side
    523,297.92x = 230,676,276,212.58
  5. Step 5: Solve for x
    x = 230,676,276,212.58/523,297.92
  6. Step 6: Final answer
    x = 440,812.52

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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.