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Finding the Fourth Proportional to 214,930.70, 322,740.30 and 170,923.40

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Solution

The fourth proportional to 214,930.70, 322,740.30 and 170,923.40 is: 256,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,930.70 : 322,740.30 = 170,923.40 : x
  2. Step 2: Convert to fraction form
    214,930.70/322,740.30 = 170,923.40/x
  3. Step 3: Cross multiply
    214,930.70x = 322,740.30 × 170,923.40
  4. Step 4: Simplify right side
    214,930.70x = 55,163,869,393.02
  5. Step 5: Solve for x
    x = 55,163,869,393.02/214,930.70
  6. Step 6: Final answer
    x = 256,658.86

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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.