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Finding the Fourth Proportional to 470,590.77, 705,489.42 and 204,150.42

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Solution

The fourth proportional to 470,590.77, 705,489.42 and 204,150.42 is: 306,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,590.77 : 705,489.42 = 204,150.42 : x
  2. Step 2: Convert to fraction form
    470,590.77/705,489.42 = 204,150.42/x
  3. Step 3: Cross multiply
    470,590.77x = 705,489.42 × 204,150.42
  4. Step 4: Simplify right side
    470,590.77x = 144,025,961,398.56
  5. Step 5: Solve for x
    x = 144,025,961,398.56/470,590.77
  6. Step 6: Final answer
    x = 306,053.52

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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.