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Finding the Fourth Proportional to 499,997.16, 689,978.88 and 285,206.76

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Solution

The fourth proportional to 499,997.16, 689,978.88 and 285,206.76 is: 393,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,997.16 : 689,978.88 = 285,206.76 : x
  2. Step 2: Convert to fraction form
    499,997.16/689,978.88 = 285,206.76/x
  3. Step 3: Cross multiply
    499,997.16x = 689,978.88 × 285,206.76
  4. Step 4: Simplify right side
    499,997.16x = 196,786,640,833.23
  5. Step 5: Solve for x
    x = 196,786,640,833.23/499,997.16
  6. Step 6: Final answer
    x = 393,575.52

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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.