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Finding the Fourth Proportional to 427,196.31, 640,891.66 and 227,411.43

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Solution

The fourth proportional to 427,196.31, 640,891.66 and 227,411.43 is: 341,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,196.31 : 640,891.66 = 227,411.43 : x
  2. Step 2: Convert to fraction form
    427,196.31/640,891.66 = 227,411.43/x
  3. Step 3: Cross multiply
    427,196.31x = 640,891.66 × 227,411.43
  4. Step 4: Simplify right side
    427,196.31x = 145,746,088,875.67
  5. Step 5: Solve for x
    x = 145,746,088,875.67/427,196.31
  6. Step 6: Final answer
    x = 341,168.89

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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.