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Finding the Fourth Proportional to 304,013.70, 419,539.01 and 166,193.24

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Solution

The fourth proportional to 304,013.70, 419,539.01 and 166,193.24 is: 229,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,013.70 : 419,539.01 = 166,193.24 : x
  2. Step 2: Convert to fraction form
    304,013.70/419,539.01 = 166,193.24/x
  3. Step 3: Cross multiply
    304,013.70x = 419,539.01 × 166,193.24
  4. Step 4: Simplify right side
    304,013.70x = 69,724,544,449.63
  5. Step 5: Solve for x
    x = 69,724,544,449.63/304,013.70
  6. Step 6: Final answer
    x = 229,346.72

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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.