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Finding the Fourth Proportional to 470,961.75, 706,467.06 and 155,443.26

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Solution

The fourth proportional to 470,961.75, 706,467.06 and 155,443.26 is: 233,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,961.75 : 706,467.06 = 155,443.26 : x
  2. Step 2: Convert to fraction form
    470,961.75/706,467.06 = 155,443.26/x
  3. Step 3: Cross multiply
    470,961.75x = 706,467.06 × 155,443.26
  4. Step 4: Simplify right side
    470,961.75x = 109,815,542,889.02
  5. Step 5: Solve for x
    x = 109,815,542,889.02/470,961.75
  6. Step 6: Final answer
    x = 233,172.95

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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.