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Finding the Fourth Proportional to 271,533.31, 407,597.93 and 215,732.11

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Solution

The fourth proportional to 271,533.31, 407,597.93 and 215,732.11 is: 323,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,533.31 : 407,597.93 = 215,732.11 : x
  2. Step 2: Convert to fraction form
    271,533.31/407,597.93 = 215,732.11/x
  3. Step 3: Cross multiply
    271,533.31x = 407,597.93 × 215,732.11
  4. Step 4: Simplify right side
    271,533.31x = 87,931,961,470.53
  5. Step 5: Solve for x
    x = 87,931,961,470.53/271,533.31
  6. Step 6: Final answer
    x = 323,834.90

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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.