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Finding the Fourth Proportional to 470,539.10, 705,411.78 and 204,098.92

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Solution

The fourth proportional to 470,539.10, 705,411.78 and 204,098.92 is: 305,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,539.10 : 705,411.78 = 204,098.92 : x
  2. Step 2: Convert to fraction form
    470,539.10/705,411.78 = 204,098.92/x
  3. Step 3: Cross multiply
    470,539.10x = 705,411.78 × 204,098.92
  4. Step 4: Simplify right side
    470,539.10x = 143,973,782,453.28
  5. Step 5: Solve for x
    x = 143,973,782,453.28/470,539.10
  6. Step 6: Final answer
    x = 305,976.24

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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.