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Finding the Fourth Proportional to 308,042.42, 461,419.67 and 247,745.00

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Solution

The fourth proportional to 308,042.42, 461,419.67 and 247,745.00 is: 371,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,042.42 : 461,419.67 = 247,745.00 : x
  2. Step 2: Convert to fraction form
    308,042.42/461,419.67 = 247,745.00/x
  3. Step 3: Cross multiply
    308,042.42x = 461,419.67 × 247,745.00
  4. Step 4: Simplify right side
    308,042.42x = 114,314,417,917.06
  5. Step 5: Solve for x
    x = 114,314,417,917.06/308,042.42
  6. Step 6: Final answer
    x = 371,099.60

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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.