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Finding the Fourth Proportional to 334,096, 461,052.51 and 183,196.24

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Solution

The fourth proportional to 334,096, 461,052.51 and 183,196.24 is: 252,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,096 : 461,052.51 = 183,196.24 : x
  2. Step 2: Convert to fraction form
    334,096/461,052.51 = 183,196.24/x
  3. Step 3: Cross multiply
    334,096x = 461,052.51 × 183,196.24
  4. Step 4: Simplify right side
    334,096x = 84,463,086,274.56
  5. Step 5: Solve for x
    x = 84,463,086,274.56/334,096
  6. Step 6: Final answer
    x = 252,810.83

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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.