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Finding the Fourth Proportional to 296,768.34, 409,531.41 and 169,419.06

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Solution

The fourth proportional to 296,768.34, 409,531.41 and 169,419.06 is: 233,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768.34 : 409,531.41 = 169,419.06 : x
  2. Step 2: Convert to fraction form
    296,768.34/409,531.41 = 169,419.06/x
  3. Step 3: Cross multiply
    296,768.34x = 409,531.41 × 169,419.06
  4. Step 4: Simplify right side
    296,768.34x = 69,382,426,522.67
  5. Step 5: Solve for x
    x = 69,382,426,522.67/296,768.34
  6. Step 6: Final answer
    x = 233,793.22

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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.