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Finding the Fourth Proportional to 307,738.40, 461,561.40 and 97,349

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Solution

The fourth proportional to 307,738.40, 461,561.40 and 97,349 is: 146,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,738.40 : 461,561.40 = 97,349 : x
  2. Step 2: Convert to fraction form
    307,738.40/461,561.40 = 97,349/x
  3. Step 3: Cross multiply
    307,738.40x = 461,561.40 × 97,349
  4. Step 4: Simplify right side
    307,738.40x = 44,932,540,728.60
  5. Step 5: Solve for x
    x = 44,932,540,728.60/307,738.40
  6. Step 6: Final answer
    x = 146,008.89

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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.