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Finding the Fourth Proportional to 470,455.20, 705,682.80 and 462,679.20

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Solution

The fourth proportional to 470,455.20, 705,682.80 and 462,679.20 is: 694,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455.20 : 705,682.80 = 462,679.20 : x
  2. Step 2: Convert to fraction form
    470,455.20/705,682.80 = 462,679.20/x
  3. Step 3: Cross multiply
    470,455.20x = 705,682.80 × 462,679.20
  4. Step 4: Simplify right side
    470,455.20x = 326,504,753,357.76
  5. Step 5: Solve for x
    x = 326,504,753,357.76/470,455.20
  6. Step 6: Final answer
    x = 694,018.80

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Similar ratio
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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.