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Finding the Fourth Proportional to 307,978.80, 461,984.49 and 97,633.14

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Solution

The fourth proportional to 307,978.80, 461,984.49 and 97,633.14 is: 146,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,978.80 : 461,984.49 = 97,633.14 : x
  2. Step 2: Convert to fraction form
    307,978.80/461,984.49 = 97,633.14/x
  3. Step 3: Cross multiply
    307,978.80x = 461,984.49 × 97,633.14
  4. Step 4: Simplify right side
    307,978.80x = 45,104,996,390.00
  5. Step 5: Solve for x
    x = 45,104,996,390.00/307,978.80
  6. Step 6: Final answer
    x = 146,454.87

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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.