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Finding the Fourth Proportional to 427,711.62, 590,201.96 and 255,595.32

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Solution

The fourth proportional to 427,711.62, 590,201.96 and 255,595.32 is: 352,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,711.62 : 590,201.96 = 255,595.32 : x
  2. Step 2: Convert to fraction form
    427,711.62/590,201.96 = 255,595.32/x
  3. Step 3: Cross multiply
    427,711.62x = 590,201.96 × 255,595.32
  4. Step 4: Simplify right side
    427,711.62x = 150,852,859,469.82
  5. Step 5: Solve for x
    x = 150,852,859,469.82/427,711.62
  6. Step 6: Final answer
    x = 352,697.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.