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Finding the Fourth Proportional to 296,751.47, 409,537.11 and 167,645.16

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Solution

The fourth proportional to 296,751.47, 409,537.11 and 167,645.16 is: 231,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,751.47 : 409,537.11 = 167,645.16 : x
  2. Step 2: Convert to fraction form
    296,751.47/409,537.11 = 167,645.16/x
  3. Step 3: Cross multiply
    296,751.47x = 409,537.11 × 167,645.16
  4. Step 4: Simplify right side
    296,751.47x = 68,656,914,960.56
  5. Step 5: Solve for x
    x = 68,656,914,960.56/296,751.47
  6. Step 6: Final answer
    x = 231,361.67

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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.