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Finding the Fourth Proportional to 499,269, 748,903.50 and 166,845

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Solution

The fourth proportional to 499,269, 748,903.50 and 166,845 is: 250,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,269 : 748,903.50 = 166,845 : x
  2. Step 2: Convert to fraction form
    499,269/748,903.50 = 166,845/x
  3. Step 3: Cross multiply
    499,269x = 748,903.50 × 166,845
  4. Step 4: Simplify right side
    499,269x = 124,950,804,457.50
  5. Step 5: Solve for x
    x = 124,950,804,457.50/499,269
  6. Step 6: Final answer
    x = 250,267.50

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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.