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Finding the Fourth Proportional to 296,957.76, 409,846.08 and 233,771.04

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Solution

The fourth proportional to 296,957.76, 409,846.08 and 233,771.04 is: 322,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,957.76 : 409,846.08 = 233,771.04 : x
  2. Step 2: Convert to fraction form
    296,957.76/409,846.08 = 233,771.04/x
  3. Step 3: Cross multiply
    296,957.76x = 409,846.08 × 233,771.04
  4. Step 4: Simplify right side
    296,957.76x = 95,810,144,361.52
  5. Step 5: Solve for x
    x = 95,810,144,361.52/296,957.76
  6. Step 6: Final answer
    x = 322,638.97

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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.