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Finding the Fourth Proportional to 469,099.44, 647,354.64 and 254,237.20

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Solution

The fourth proportional to 469,099.44, 647,354.64 and 254,237.20 is: 350,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,099.44 : 647,354.64 = 254,237.20 : x
  2. Step 2: Convert to fraction form
    469,099.44/647,354.64 = 254,237.20/x
  3. Step 3: Cross multiply
    469,099.44x = 647,354.64 × 254,237.20
  4. Step 4: Simplify right side
    469,099.44x = 164,581,631,080.61
  5. Step 5: Solve for x
    x = 164,581,631,080.61/469,099.44
  6. Step 6: Final answer
    x = 350,845.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.