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Finding the Fourth Proportional to 304,085.46, 419,624.78 and 166,261.87

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Solution

The fourth proportional to 304,085.46, 419,624.78 and 166,261.87 is: 229,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,085.46 : 419,624.78 = 166,261.87 : x
  2. Step 2: Convert to fraction form
    304,085.46/419,624.78 = 166,261.87/x
  3. Step 3: Cross multiply
    304,085.46x = 419,624.78 × 166,261.87
  4. Step 4: Simplify right side
    304,085.46x = 69,767,600,621.14
  5. Step 5: Solve for x
    x = 69,767,600,621.14/304,085.46
  6. Step 6: Final answer
    x = 229,434.19

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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.