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Finding the Fourth Proportional to 470,587.62, 705,879.63 and 133,628.28

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Solution

The fourth proportional to 470,587.62, 705,879.63 and 133,628.28 is: 200,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,587.62 : 705,879.63 = 133,628.28 : x
  2. Step 2: Convert to fraction form
    470,587.62/705,879.63 = 133,628.28/x
  3. Step 3: Cross multiply
    470,587.62x = 705,879.63 × 133,628.28
  4. Step 4: Simplify right side
    470,587.62x = 94,325,480,843.94
  5. Step 5: Solve for x
    x = 94,325,480,843.94/470,587.62
  6. Step 6: Final answer
    x = 200,441.91

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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.