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Finding the Fourth Proportional to 470,820.80, 706,231.20 and 329,103.20

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Solution

The fourth proportional to 470,820.80, 706,231.20 and 329,103.20 is: 493,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,820.80 : 706,231.20 = 329,103.20 : x
  2. Step 2: Convert to fraction form
    470,820.80/706,231.20 = 329,103.20/x
  3. Step 3: Cross multiply
    470,820.80x = 706,231.20 × 329,103.20
  4. Step 4: Simplify right side
    470,820.80x = 232,422,947,859.84
  5. Step 5: Solve for x
    x = 232,422,947,859.84/470,820.80
  6. Step 6: Final answer
    x = 493,654.80

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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.