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Finding the Fourth Proportional to 470,168.64, 705,251.40 and 170,648.82

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Solution

The fourth proportional to 470,168.64, 705,251.40 and 170,648.82 is: 255,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,168.64 : 705,251.40 = 170,648.82 : x
  2. Step 2: Convert to fraction form
    470,168.64/705,251.40 = 170,648.82/x
  3. Step 3: Cross multiply
    470,168.64x = 705,251.40 × 170,648.82
  4. Step 4: Simplify right side
    470,168.64x = 120,350,319,213.35
  5. Step 5: Solve for x
    x = 120,350,319,213.35/470,168.64
  6. Step 6: Final answer
    x = 255,972.66

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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.