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Finding the Fourth Proportional to 382,223.32, 527,698.38 and 253,270.60

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Solution

The fourth proportional to 382,223.32, 527,698.38 and 253,270.60 is: 349,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,223.32 : 527,698.38 = 253,270.60 : x
  2. Step 2: Convert to fraction form
    382,223.32/527,698.38 = 253,270.60/x
  3. Step 3: Cross multiply
    382,223.32x = 527,698.38 × 253,270.60
  4. Step 4: Simplify right side
    382,223.32x = 133,650,485,321.63
  5. Step 5: Solve for x
    x = 133,650,485,321.63/382,223.32
  6. Step 6: Final answer
    x = 349,665.96

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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.