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Finding the Fourth Proportional to 307,774.40, 461,615.40 and 97,385

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Solution

The fourth proportional to 307,774.40, 461,615.40 and 97,385 is: 146,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.40 : 461,615.40 = 97,385 : x
  2. Step 2: Convert to fraction form
    307,774.40/461,615.40 = 97,385/x
  3. Step 3: Cross multiply
    307,774.40x = 461,615.40 × 97,385
  4. Step 4: Simplify right side
    307,774.40x = 44,954,415,729
  5. Step 5: Solve for x
    x = 44,954,415,729/307,774.40
  6. Step 6: Final answer
    x = 146,062.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.