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Finding the Fourth Proportional to 271,401.30, 407,361.15 and 232,002.90

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Solution

The fourth proportional to 271,401.30, 407,361.15 and 232,002.90 is: 348,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,401.30 : 407,361.15 = 232,002.90 : x
  2. Step 2: Convert to fraction form
    271,401.30/407,361.15 = 232,002.90/x
  3. Step 3: Cross multiply
    271,401.30x = 407,361.15 × 232,002.90
  4. Step 4: Simplify right side
    271,401.30x = 94,508,968,147.34
  5. Step 5: Solve for x
    x = 94,508,968,147.34/271,401.30
  6. Step 6: Final answer
    x = 348,225.92

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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.