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Finding the Fourth Proportional to 499,284.76, 748,771.62 and 166,783

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Solution

The fourth proportional to 499,284.76, 748,771.62 and 166,783 is: 250,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,284.76 : 748,771.62 = 166,783 : x
  2. Step 2: Convert to fraction form
    499,284.76/748,771.62 = 166,783/x
  3. Step 3: Cross multiply
    499,284.76x = 748,771.62 × 166,783
  4. Step 4: Simplify right side
    499,284.76x = 124,882,377,098.46
  5. Step 5: Solve for x
    x = 124,882,377,098.46/499,284.76
  6. Step 6: Final answer
    x = 250,122.55

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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.