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Finding the Fourth Proportional to 271,294, 374,390.24 and 150,440.40

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Solution

The fourth proportional to 271,294, 374,390.24 and 150,440.40 is: 207,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,294 : 374,390.24 = 150,440.40 : x
  2. Step 2: Convert to fraction form
    271,294/374,390.24 = 150,440.40/x
  3. Step 3: Cross multiply
    271,294x = 374,390.24 × 150,440.40
  4. Step 4: Simplify right side
    271,294x = 56,323,417,461.70
  5. Step 5: Solve for x
    x = 56,323,417,461.70/271,294
  6. Step 6: Final answer
    x = 207,610.26

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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.