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Finding the Fourth Proportional to 307,625.70, 461,352.15 and 97,328.10

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Solution

The fourth proportional to 307,625.70, 461,352.15 and 97,328.10 is: 145,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,625.70 : 461,352.15 = 97,328.10 : x
  2. Step 2: Convert to fraction form
    307,625.70/461,352.15 = 97,328.10/x
  3. Step 3: Cross multiply
    307,625.70x = 461,352.15 × 97,328.10
  4. Step 4: Simplify right side
    307,625.70x = 44,902,528,190.42
  5. Step 5: Solve for x
    x = 44,902,528,190.42/307,625.70
  6. Step 6: Final answer
    x = 145,964.81

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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.