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Finding the Fourth Proportional to 617,127.86, 925,358.95 and 279,984.57

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Solution

The fourth proportional to 617,127.86, 925,358.95 and 279,984.57 is: 419,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,127.86 : 925,358.95 = 279,984.57 : x
  2. Step 2: Convert to fraction form
    617,127.86/925,358.95 = 279,984.57/x
  3. Step 3: Cross multiply
    617,127.86x = 925,358.95 × 279,984.57
  4. Step 4: Simplify right side
    617,127.86x = 259,086,224,591.29
  5. Step 5: Solve for x
    x = 259,086,224,591.29/617,127.86
  6. Step 6: Final answer
    x = 419,825.84

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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.