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Finding the Fourth Proportional to 523,360.12, 722,234.92 and 293,885.48

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Solution

The fourth proportional to 523,360.12, 722,234.92 and 293,885.48 is: 405,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,360.12 : 722,234.92 = 293,885.48 : x
  2. Step 2: Convert to fraction form
    523,360.12/722,234.92 = 293,885.48/x
  3. Step 3: Cross multiply
    523,360.12x = 722,234.92 × 293,885.48
  4. Step 4: Simplify right side
    523,360.12x = 212,254,356,136.96
  5. Step 5: Solve for x
    x = 212,254,356,136.96/523,360.12
  6. Step 6: Final answer
    x = 405,560.81

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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.