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Finding the Fourth Proportional to 266,403.90, 397,662.48 and 232,773.29

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Solution

The fourth proportional to 266,403.90, 397,662.48 and 232,773.29 is: 347,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,403.90 : 397,662.48 = 232,773.29 : x
  2. Step 2: Convert to fraction form
    266,403.90/397,662.48 = 232,773.29/x
  3. Step 3: Cross multiply
    266,403.90x = 397,662.48 × 232,773.29
  4. Step 4: Simplify right side
    266,403.90x = 92,565,201,790.85
  5. Step 5: Solve for x
    x = 92,565,201,790.85/266,403.90
  6. Step 6: Final answer
    x = 347,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.