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Finding the Fourth Proportional to 427,594.32, 641,201.94 and 227,877.48

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Solution

The fourth proportional to 427,594.32, 641,201.94 and 227,877.48 is: 341,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,594.32 : 641,201.94 = 227,877.48 : x
  2. Step 2: Convert to fraction form
    427,594.32/641,201.94 = 227,877.48/x
  3. Step 3: Cross multiply
    427,594.32x = 641,201.94 × 227,877.48
  4. Step 4: Simplify right side
    427,594.32x = 146,115,482,258.31
  5. Step 5: Solve for x
    x = 146,115,482,258.31/427,594.32
  6. Step 6: Final answer
    x = 341,715.21

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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.