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Finding the Fourth Proportional to 296,546.34, 409,263.30 and 169,241.07

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Solution

The fourth proportional to 296,546.34, 409,263.30 and 169,241.07 is: 233,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,546.34 : 409,263.30 = 169,241.07 : x
  2. Step 2: Convert to fraction form
    296,546.34/409,263.30 = 169,241.07/x
  3. Step 3: Cross multiply
    296,546.34x = 409,263.30 × 169,241.07
  4. Step 4: Simplify right side
    296,546.34x = 69,264,158,803.73
  5. Step 5: Solve for x
    x = 69,264,158,803.73/296,546.34
  6. Step 6: Final answer
    x = 233,569.43

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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.