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Finding the Fourth Proportional to 470,675.96, 706,060.65 and 150,747.48

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Solution

The fourth proportional to 470,675.96, 706,060.65 and 150,747.48 is: 226,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,675.96 : 706,060.65 = 150,747.48 : x
  2. Step 2: Convert to fraction form
    470,675.96/706,060.65 = 150,747.48/x
  3. Step 3: Cross multiply
    470,675.96x = 706,060.65 × 150,747.48
  4. Step 4: Simplify right side
    470,675.96x = 106,436,863,432.01
  5. Step 5: Solve for x
    x = 106,436,863,432.01/470,675.96
  6. Step 6: Final answer
    x = 226,136.18

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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.