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Finding the Fourth Proportional to 271,934.20, 407,901.30 and 241,607.80

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Solution

The fourth proportional to 271,934.20, 407,901.30 and 241,607.80 is: 362,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,934.20 : 407,901.30 = 241,607.80 : x
  2. Step 2: Convert to fraction form
    271,934.20/407,901.30 = 241,607.80/x
  3. Step 3: Cross multiply
    271,934.20x = 407,901.30 × 241,607.80
  4. Step 4: Simplify right side
    271,934.20x = 98,552,135,710.14
  5. Step 5: Solve for x
    x = 98,552,135,710.14/271,934.20
  6. Step 6: Final answer
    x = 362,411.70

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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.