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Finding the Fourth Proportional to 345,192.40, 476,120.12 and 230,413.17

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Solution

The fourth proportional to 345,192.40, 476,120.12 and 230,413.17 is: 317,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,192.40 : 476,120.12 = 230,413.17 : x
  2. Step 2: Convert to fraction form
    345,192.40/476,120.12 = 230,413.17/x
  3. Step 3: Cross multiply
    345,192.40x = 476,120.12 × 230,413.17
  4. Step 4: Simplify right side
    345,192.40x = 109,704,346,149.98
  5. Step 5: Solve for x
    x = 109,704,346,149.98/345,192.40
  6. Step 6: Final answer
    x = 317,806.38

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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.