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Finding the Fourth Proportional to 274,084.68, 378,300.06 and 178,424.76

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Solution

The fourth proportional to 274,084.68, 378,300.06 and 178,424.76 is: 246,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,084.68 : 378,300.06 = 178,424.76 : x
  2. Step 2: Convert to fraction form
    274,084.68/378,300.06 = 178,424.76/x
  3. Step 3: Cross multiply
    274,084.68x = 378,300.06 × 178,424.76
  4. Step 4: Simplify right side
    274,084.68x = 67,498,097,413.49
  5. Step 5: Solve for x
    x = 67,498,097,413.49/274,084.68
  6. Step 6: Final answer
    x = 246,267.31

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1.5x scale

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.