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Finding the Fourth Proportional to 499,284.26, 748,770.87 and 166,782.50

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Solution

The fourth proportional to 499,284.26, 748,770.87 and 166,782.50 is: 250,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,284.26 : 748,770.87 = 166,782.50 : x
  2. Step 2: Convert to fraction form
    499,284.26/748,770.87 = 166,782.50/x
  3. Step 3: Cross multiply
    499,284.26x = 748,770.87 × 166,782.50
  4. Step 4: Simplify right side
    499,284.26x = 124,881,877,625.78
  5. Step 5: Solve for x
    x = 124,881,877,625.78/499,284.26
  6. Step 6: Final answer
    x = 250,121.80

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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.