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Finding the Fourth Proportional to 296,750.81, 409,536.21 and 167,644.50

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Solution

The fourth proportional to 296,750.81, 409,536.21 and 167,644.50 is: 231,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,750.81 : 409,536.21 = 167,644.50 : x
  2. Step 2: Convert to fraction form
    296,750.81/409,536.21 = 167,644.50/x
  3. Step 3: Cross multiply
    296,750.81x = 409,536.21 × 167,644.50
  4. Step 4: Simplify right side
    296,750.81x = 68,656,494,378.77
  5. Step 5: Solve for x
    x = 68,656,494,378.77/296,750.81
  6. Step 6: Final answer
    x = 231,360.77

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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.