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Finding the Fourth Proportional to 531,413.76, 796,947.30 and 176,332.44

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Solution

The fourth proportional to 531,413.76, 796,947.30 and 176,332.44 is: 264,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,413.76 : 796,947.30 = 176,332.44 : x
  2. Step 2: Convert to fraction form
    531,413.76/796,947.30 = 176,332.44/x
  3. Step 3: Cross multiply
    531,413.76x = 796,947.30 × 176,332.44
  4. Step 4: Simplify right side
    531,413.76x = 140,527,661,960.41
  5. Step 5: Solve for x
    x = 140,527,661,960.41/531,413.76
  6. Step 6: Final answer
    x = 264,441.14

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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.