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Finding the Fourth Proportional to 470,540.96, 705,634.80 and 170,947.52

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Solution

The fourth proportional to 470,540.96, 705,634.80 and 170,947.52 is: 256,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,540.96 : 705,634.80 = 170,947.52 : x
  2. Step 2: Convert to fraction form
    470,540.96/705,634.80 = 170,947.52/x
  3. Step 3: Cross multiply
    470,540.96x = 705,634.80 × 170,947.52
  4. Step 4: Simplify right side
    470,540.96x = 120,626,519,085.70
  5. Step 5: Solve for x
    x = 120,626,519,085.70/470,540.96
  6. Step 6: Final answer
    x = 256,357.11

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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.