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Finding the Fourth Proportional to 470,551.98, 705,515.92 and 170,996.97

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Solution

The fourth proportional to 470,551.98, 705,515.92 and 170,996.97 is: 256,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,551.98 : 705,515.92 = 170,996.97 : x
  2. Step 2: Convert to fraction form
    470,551.98/705,515.92 = 170,996.97/x
  3. Step 3: Cross multiply
    470,551.98x = 705,515.92 × 170,996.97
  4. Step 4: Simplify right side
    470,551.98x = 120,641,083,751.78
  5. Step 5: Solve for x
    x = 120,641,083,751.78/470,551.98
  6. Step 6: Final answer
    x = 256,382.06

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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.