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Finding the Fourth Proportional to 296,612.98, 409,361.86 and 167,556.89

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Solution

The fourth proportional to 296,612.98, 409,361.86 and 167,556.89 is: 231,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612.98 : 409,361.86 = 167,556.89 : x
  2. Step 2: Convert to fraction form
    296,612.98/409,361.86 = 167,556.89/x
  3. Step 3: Cross multiply
    296,612.98x = 409,361.86 × 167,556.89
  4. Step 4: Simplify right side
    296,612.98x = 68,591,401,379.07
  5. Step 5: Solve for x
    x = 68,591,401,379.07/296,612.98
  6. Step 6: Final answer
    x = 231,248.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.