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Finding the Fourth Proportional to 311,361.88, 429,530.22 and 299,290.84

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Solution

The fourth proportional to 311,361.88, 429,530.22 and 299,290.84 is: 412,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,361.88 : 429,530.22 = 299,290.84 : x
  2. Step 2: Convert to fraction form
    311,361.88/429,530.22 = 299,290.84/x
  3. Step 3: Cross multiply
    311,361.88x = 429,530.22 × 299,290.84
  4. Step 4: Simplify right side
    311,361.88x = 128,554,460,349.19
  5. Step 5: Solve for x
    x = 128,554,460,349.19/311,361.88
  6. Step 6: Final answer
    x = 412,877.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.