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Finding the Fourth Proportional to 271,649.55, 407,742.50 and 203,946.11

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Solution

The fourth proportional to 271,649.55, 407,742.50 and 203,946.11 is: 306,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,649.55 : 407,742.50 = 203,946.11 : x
  2. Step 2: Convert to fraction form
    271,649.55/407,742.50 = 203,946.11/x
  3. Step 3: Cross multiply
    271,649.55x = 407,742.50 × 203,946.11
  4. Step 4: Simplify right side
    271,649.55x = 83,157,495,227.83
  5. Step 5: Solve for x
    x = 83,157,495,227.83/271,649.55
  6. Step 6: Final answer
    x = 306,120.50

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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.