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Finding the Fourth Proportional to 307,634.70, 461,365.65 and 97,337.10

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Solution

The fourth proportional to 307,634.70, 461,365.65 and 97,337.10 is: 145,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,634.70 : 461,365.65 = 97,337.10 : x
  2. Step 2: Convert to fraction form
    307,634.70/461,365.65 = 97,337.10/x
  3. Step 3: Cross multiply
    307,634.70x = 461,365.65 × 97,337.10
  4. Step 4: Simplify right side
    307,634.70x = 44,907,994,410.62
  5. Step 5: Solve for x
    x = 44,907,994,410.62/307,634.70
  6. Step 6: Final answer
    x = 145,978.31

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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.