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Finding the Fourth Proportional to 470,894.85, 706,506.30 and 204,846.30

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Solution

The fourth proportional to 470,894.85, 706,506.30 and 204,846.30 is: 307,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.85 : 706,506.30 = 204,846.30 : x
  2. Step 2: Convert to fraction form
    470,894.85/706,506.30 = 204,846.30/x
  3. Step 3: Cross multiply
    470,894.85x = 706,506.30 × 204,846.30
  4. Step 4: Simplify right side
    470,894.85x = 144,725,201,481.69
  5. Step 5: Solve for x
    x = 144,725,201,481.69/470,894.85
  6. Step 6: Final answer
    x = 307,340.80

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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.