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Finding the Fourth Proportional to 470,735.80, 706,087.32 and 150,883

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Solution

The fourth proportional to 470,735.80, 706,087.32 and 150,883 is: 226,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,735.80 : 706,087.32 = 150,883 : x
  2. Step 2: Convert to fraction form
    470,735.80/706,087.32 = 150,883/x
  3. Step 3: Cross multiply
    470,735.80x = 706,087.32 × 150,883
  4. Step 4: Simplify right side
    470,735.80x = 106,536,573,103.56
  5. Step 5: Solve for x
    x = 106,536,573,103.56/470,735.80
  6. Step 6: Final answer
    x = 226,319.25

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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.