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Finding the Fourth Proportional to 470,559.92, 705,838.20 and 204,285.68

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Solution

The fourth proportional to 470,559.92, 705,838.20 and 204,285.68 is: 306,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,559.92 : 705,838.20 = 204,285.68 : x
  2. Step 2: Convert to fraction form
    470,559.92/705,838.20 = 204,285.68/x
  3. Step 3: Cross multiply
    470,559.92x = 705,838.20 × 204,285.68
  4. Step 4: Simplify right side
    470,559.92x = 144,192,636,656.98
  5. Step 5: Solve for x
    x = 144,192,636,656.98/470,559.92
  6. Step 6: Final answer
    x = 306,427.79

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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.