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Finding the Fourth Proportional to 470,890.43, 706,319.76 and 204,650.96

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Solution

The fourth proportional to 470,890.43, 706,319.76 and 204,650.96 is: 306,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,890.43 : 706,319.76 = 204,650.96 : x
  2. Step 2: Convert to fraction form
    470,890.43/706,319.76 = 204,650.96/x
  3. Step 3: Cross multiply
    470,890.43x = 706,319.76 × 204,650.96
  4. Step 4: Simplify right side
    470,890.43x = 144,549,016,950.97
  5. Step 5: Solve for x
    x = 144,549,016,950.97/470,890.43
  6. Step 6: Final answer
    x = 306,969.54

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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.