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Finding the Fourth Proportional to 309,006.70, 463,682.27 and 166,848.96

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Solution

The fourth proportional to 309,006.70, 463,682.27 and 166,848.96 is: 250,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,006.70 : 463,682.27 = 166,848.96 : x
  2. Step 2: Convert to fraction form
    309,006.70/463,682.27 = 166,848.96/x
  3. Step 3: Cross multiply
    309,006.70x = 463,682.27 × 166,848.96
  4. Step 4: Simplify right side
    309,006.70x = 77,364,906,675.87
  5. Step 5: Solve for x
    x = 77,364,906,675.87/309,006.70
  6. Step 6: Final answer
    x = 250,366.44

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1.5x scale

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.