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Finding the Fourth Proportional to 304,143.06, 419,694.98 and 168,178.80

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Solution

The fourth proportional to 304,143.06, 419,694.98 and 168,178.80 is: 232,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,143.06 : 419,694.98 = 168,178.80 : x
  2. Step 2: Convert to fraction form
    304,143.06/419,694.98 = 168,178.80/x
  3. Step 3: Cross multiply
    304,143.06x = 419,694.98 × 168,178.80
  4. Step 4: Simplify right side
    304,143.06x = 70,583,797,261.53
  5. Step 5: Solve for x
    x = 70,583,797,261.53/304,143.06
  6. Step 6: Final answer
    x = 232,074.33

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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.