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Finding the Fourth Proportional to 307,327.40, 461,055.90 and 96,986.60

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Solution

The fourth proportional to 307,327.40, 461,055.90 and 96,986.60 is: 145,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,327.40 : 461,055.90 = 96,986.60 : x
  2. Step 2: Convert to fraction form
    307,327.40/461,055.90 = 96,986.60/x
  3. Step 3: Cross multiply
    307,327.40x = 461,055.90 × 96,986.60
  4. Step 4: Simplify right side
    307,327.40x = 44,716,244,150.94
  5. Step 5: Solve for x
    x = 44,716,244,150.94/307,327.40
  6. Step 6: Final answer
    x = 145,500.35

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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.