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Finding the Fourth Proportional to 397,773.96, 548,832.27 and 234,436.98

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Solution

The fourth proportional to 397,773.96, 548,832.27 and 234,436.98 is: 323,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,773.96 : 548,832.27 = 234,436.98 : x
  2. Step 2: Convert to fraction form
    397,773.96/548,832.27 = 234,436.98/x
  3. Step 3: Cross multiply
    397,773.96x = 548,832.27 × 234,436.98
  4. Step 4: Simplify right side
    397,773.96x = 128,666,579,905.35
  5. Step 5: Solve for x
    x = 128,666,579,905.35/397,773.96
  6. Step 6: Final answer
    x = 323,466.57

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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.