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Finding the Fourth Proportional to 271,304.40, 407,102.40 and 113,548.80

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Solution

The fourth proportional to 271,304.40, 407,102.40 and 113,548.80 is: 170,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,304.40 : 407,102.40 = 113,548.80 : x
  2. Step 2: Convert to fraction form
    271,304.40/407,102.40 = 113,548.80/x
  3. Step 3: Cross multiply
    271,304.40x = 407,102.40 × 113,548.80
  4. Step 4: Simplify right side
    271,304.40x = 46,225,988,997.12
  5. Step 5: Solve for x
    x = 46,225,988,997.12/271,304.40
  6. Step 6: Final answer
    x = 170,384.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.