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Finding the Fourth Proportional to 470,575.92, 705,862.20 and 204,301.68

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Solution

The fourth proportional to 470,575.92, 705,862.20 and 204,301.68 is: 306,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,575.92 : 705,862.20 = 204,301.68 : x
  2. Step 2: Convert to fraction form
    470,575.92/705,862.20 = 204,301.68/x
  3. Step 3: Cross multiply
    470,575.92x = 705,862.20 × 204,301.68
  4. Step 4: Simplify right side
    470,575.92x = 144,208,833,308.50
  5. Step 5: Solve for x
    x = 144,208,833,308.50/470,575.92
  6. Step 6: Final answer
    x = 306,451.79

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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.