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Finding the Fourth Proportional to 522,930.80, 784,727.93 and 223,413.63

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Solution

The fourth proportional to 522,930.80, 784,727.93 and 223,413.63 is: 335,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,930.80 : 784,727.93 = 223,413.63 : x
  2. Step 2: Convert to fraction form
    522,930.80/784,727.93 = 223,413.63/x
  3. Step 3: Cross multiply
    522,930.80x = 784,727.93 × 223,413.63
  4. Step 4: Simplify right side
    522,930.80x = 175,318,913,019.49
  5. Step 5: Solve for x
    x = 175,318,913,019.49/522,930.80
  6. Step 6: Final answer
    x = 335,262.17

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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.