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Finding the Fourth Proportional to 307,349.91, 461,024.87 and 97,004.25

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Solution

The fourth proportional to 307,349.91, 461,024.87 and 97,004.25 is: 145,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,349.91 : 461,024.87 = 97,004.25 : x
  2. Step 2: Convert to fraction form
    307,349.91/461,024.87 = 97,004.25/x
  3. Step 3: Cross multiply
    307,349.91x = 461,024.87 × 97,004.25
  4. Step 4: Simplify right side
    307,349.91x = 44,721,371,260.68
  5. Step 5: Solve for x
    x = 44,721,371,260.68/307,349.91
  6. Step 6: Final answer
    x = 145,506.38

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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.