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Finding the Fourth Proportional to 470,511.67, 705,370.73 and 204,071.52

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Solution

The fourth proportional to 470,511.67, 705,370.73 and 204,071.52 is: 305,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,511.67 : 705,370.73 = 204,071.52 : x
  2. Step 2: Convert to fraction form
    470,511.67/705,370.73 = 204,071.52/x
  3. Step 3: Cross multiply
    470,511.67x = 705,370.73 × 204,071.52
  4. Step 4: Simplify right side
    470,511.67x = 143,946,072,487.40
  5. Step 5: Solve for x
    x = 143,946,072,487.40/470,511.67
  6. Step 6: Final answer
    x = 305,935.18

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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.