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Finding the Fourth Proportional to 470,520.87, 705,384.54 and 204,080.71

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Solution

The fourth proportional to 470,520.87, 705,384.54 and 204,080.71 is: 305,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.87 : 705,384.54 = 204,080.71 : x
  2. Step 2: Convert to fraction form
    470,520.87/705,384.54 = 204,080.71/x
  3. Step 3: Cross multiply
    470,520.87x = 705,384.54 × 204,080.71
  4. Step 4: Simplify right side
    470,520.87x = 143,955,377,746.22
  5. Step 5: Solve for x
    x = 143,955,377,746.22/470,520.87
  6. Step 6: Final answer
    x = 305,948.97

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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.