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Finding the Fourth Proportional to 266,401.90, 397,659.50 and 232,771.29

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Solution

The fourth proportional to 266,401.90, 397,659.50 and 232,771.29 is: 347,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,401.90 : 397,659.50 = 232,771.29 : x
  2. Step 2: Convert to fraction form
    266,401.90/397,659.50 = 232,771.29/x
  3. Step 3: Cross multiply
    266,401.90x = 397,659.50 × 232,771.29
  4. Step 4: Simplify right side
    266,401.90x = 92,563,714,795.76
  5. Step 5: Solve for x
    x = 92,563,714,795.76/266,401.90
  6. Step 6: Final answer
    x = 347,458.91

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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.