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Finding the Fourth Proportional to 470,893.20, 706,324.20 and 204,654.04

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Solution

The fourth proportional to 470,893.20, 706,324.20 and 204,654.04 is: 306,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,893.20 : 706,324.20 = 204,654.04 : x
  2. Step 2: Convert to fraction form
    470,893.20/706,324.20 = 204,654.04/x
  3. Step 3: Cross multiply
    470,893.20x = 706,324.20 × 204,654.04
  4. Step 4: Simplify right side
    470,893.20x = 144,552,101,079.77
  5. Step 5: Solve for x
    x = 144,552,101,079.77/470,893.20
  6. Step 6: Final answer
    x = 306,974.28

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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.