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Finding the Fourth Proportional to 271,587.60, 407,381.40 and 269,619.30

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Solution

The fourth proportional to 271,587.60, 407,381.40 and 269,619.30 is: 404,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,587.60 : 407,381.40 = 269,619.30 : x
  2. Step 2: Convert to fraction form
    271,587.60/407,381.40 = 269,619.30/x
  3. Step 3: Cross multiply
    271,587.60x = 407,381.40 × 269,619.30
  4. Step 4: Simplify right side
    271,587.60x = 109,837,887,901.02
  5. Step 5: Solve for x
    x = 109,837,887,901.02/271,587.60
  6. Step 6: Final answer
    x = 404,428.95

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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.