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Finding the Fourth Proportional to 307,866.30, 461,796.26 and 97,504.22

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Solution

The fourth proportional to 307,866.30, 461,796.26 and 97,504.22 is: 146,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.30 : 461,796.26 = 97,504.22 : x
  2. Step 2: Convert to fraction form
    307,866.30/461,796.26 = 97,504.22/x
  3. Step 3: Cross multiply
    307,866.30x = 461,796.26 × 97,504.22
  4. Step 4: Simplify right side
    307,866.30x = 45,027,081,333.71
  5. Step 5: Solve for x
    x = 45,027,081,333.71/307,866.30
  6. Step 6: Final answer
    x = 146,255.31

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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.