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Finding the Fourth Proportional to 499,022.40, 749,003.40 and 262,534.80

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Solution

The fourth proportional to 499,022.40, 749,003.40 and 262,534.80 is: 394,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,022.40 : 749,003.40 = 262,534.80 : x
  2. Step 2: Convert to fraction form
    499,022.40/749,003.40 = 262,534.80/x
  3. Step 3: Cross multiply
    499,022.40x = 749,003.40 × 262,534.80
  4. Step 4: Simplify right side
    499,022.40x = 196,639,457,818.32
  5. Step 5: Solve for x
    x = 196,639,457,818.32/499,022.40
  6. Step 6: Final answer
    x = 394,049.36

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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.