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Finding the Fourth Proportional to 307,736.40, 461,558.40 and 97,347

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Solution

The fourth proportional to 307,736.40, 461,558.40 and 97,347 is: 146,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,736.40 : 461,558.40 = 97,347 : x
  2. Step 2: Convert to fraction form
    307,736.40/461,558.40 = 97,347/x
  3. Step 3: Cross multiply
    307,736.40x = 461,558.40 × 97,347
  4. Step 4: Simplify right side
    307,736.40x = 44,931,325,564.80
  5. Step 5: Solve for x
    x = 44,931,325,564.80/307,736.40
  6. Step 6: Final answer
    x = 146,005.89

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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.