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Finding the Fourth Proportional to 499,382.82, 749,263.32 and 299,842.56

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Solution

The fourth proportional to 499,382.82, 749,263.32 and 299,842.56 is: 449,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,382.82 : 749,263.32 = 299,842.56 : x
  2. Step 2: Convert to fraction form
    499,382.82/749,263.32 = 299,842.56/x
  3. Step 3: Cross multiply
    499,382.82x = 749,263.32 × 299,842.56
  4. Step 4: Simplify right side
    499,382.82x = 224,661,031,982.90
  5. Step 5: Solve for x
    x = 224,661,031,982.90/499,382.82
  6. Step 6: Final answer
    x = 449,877.37

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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.