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Finding the Fourth Proportional to 354,906.10, 532,359.15 and 284,922.10

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Solution

The fourth proportional to 354,906.10, 532,359.15 and 284,922.10 is: 427,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906.10 : 532,359.15 = 284,922.10 : x
  2. Step 2: Convert to fraction form
    354,906.10/532,359.15 = 284,922.10/x
  3. Step 3: Cross multiply
    354,906.10x = 532,359.15 × 284,922.10
  4. Step 4: Simplify right side
    354,906.10x = 151,680,886,972.22
  5. Step 5: Solve for x
    x = 151,680,886,972.22/354,906.10
  6. Step 6: Final answer
    x = 427,383.15

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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.