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Finding the Fourth Proportional to 230,475, 345,770.82 and 64,263

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Solution

The fourth proportional to 230,475, 345,770.82 and 64,263 is: 96,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,475 : 345,770.82 = 64,263 : x
  2. Step 2: Convert to fraction form
    230,475/345,770.82 = 64,263/x
  3. Step 3: Cross multiply
    230,475x = 345,770.82 × 64,263
  4. Step 4: Simplify right side
    230,475x = 22,220,270,205.66
  5. Step 5: Solve for x
    x = 22,220,270,205.66/230,475
  6. Step 6: Final answer
    x = 96,410.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.