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Finding the Fourth Proportional to 230,477, 345,773.82 and 64,265

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Solution

The fourth proportional to 230,477, 345,773.82 and 64,265 is: 96,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,477 : 345,773.82 = 64,265 : x
  2. Step 2: Convert to fraction form
    230,477/345,773.82 = 64,265/x
  3. Step 3: Cross multiply
    230,477x = 345,773.82 × 64,265
  4. Step 4: Simplify right side
    230,477x = 22,221,154,542.30
  5. Step 5: Solve for x
    x = 22,221,154,542.30/230,477
  6. Step 6: Final answer
    x = 96,413.76

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Why These Related Problems?

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