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Finding the Fourth Proportional to 296,774.53, 409,568.94 and 167,668.22

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Solution

The fourth proportional to 296,774.53, 409,568.94 and 167,668.22 is: 231,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,774.53 : 409,568.94 = 167,668.22 : x
  2. Step 2: Convert to fraction form
    296,774.53/409,568.94 = 167,668.22/x
  3. Step 3: Cross multiply
    296,774.53x = 409,568.94 × 167,668.22
  4. Step 4: Simplify right side
    296,774.53x = 68,671,696,161.01
  5. Step 5: Solve for x
    x = 68,671,696,161.01/296,774.53
  6. Step 6: Final answer
    x = 231,393.50

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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.