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Finding the Fourth Proportional to 470,793.60, 705,967.80 and 171,065.28

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Solution

The fourth proportional to 470,793.60, 705,967.80 and 171,065.28 is: 256,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.60 : 705,967.80 = 171,065.28 : x
  2. Step 2: Convert to fraction form
    470,793.60/705,967.80 = 171,065.28/x
  3. Step 3: Cross multiply
    470,793.60x = 705,967.80 × 171,065.28
  4. Step 4: Simplify right side
    470,793.60x = 120,766,579,377.98
  5. Step 5: Solve for x
    x = 120,766,579,377.98/470,793.60
  6. Step 6: Final answer
    x = 256,517.04

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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.