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Finding the Fourth Proportional to 470,520.92, 705,384.62 and 204,080.78

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Solution

The fourth proportional to 470,520.92, 705,384.62 and 204,080.78 is: 305,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.92 : 705,384.62 = 204,080.78 : x
  2. Step 2: Convert to fraction form
    470,520.92/705,384.62 = 204,080.78/x
  3. Step 3: Cross multiply
    470,520.92x = 705,384.62 × 204,080.78
  4. Step 4: Simplify right side
    470,520.92x = 143,955,443,449.60
  5. Step 5: Solve for x
    x = 143,955,443,449.60/470,520.92
  6. Step 6: Final answer
    x = 305,949.08

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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.