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Finding the Fourth Proportional to 470,761.76, 705,744.56 and 204,322

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Solution

The fourth proportional to 470,761.76, 705,744.56 and 204,322 is: 306,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,761.76 : 705,744.56 = 204,322 : x
  2. Step 2: Convert to fraction form
    470,761.76/705,744.56 = 204,322/x
  3. Step 3: Cross multiply
    470,761.76x = 705,744.56 × 204,322
  4. Step 4: Simplify right side
    470,761.76x = 144,199,139,988.32
  5. Step 5: Solve for x
    x = 144,199,139,988.32/470,761.76
  6. Step 6: Final answer
    x = 306,310.22

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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.