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Finding the Fourth Proportional to 470,825.40, 705,201.30 and 329,820.60

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Solution

The fourth proportional to 470,825.40, 705,201.30 and 329,820.60 is: 494,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.40 : 705,201.30 = 329,820.60 : x
  2. Step 2: Convert to fraction form
    470,825.40/705,201.30 = 329,820.60/x
  3. Step 3: Cross multiply
    470,825.40x = 705,201.30 × 329,820.60
  4. Step 4: Simplify right side
    470,825.40x = 232,589,915,886.78
  5. Step 5: Solve for x
    x = 232,589,915,886.78/470,825.40
  6. Step 6: Final answer
    x = 494,004.61

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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.