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Finding the Fourth Proportional to 307,615.20, 461,336.40 and 97,317.60

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Solution

The fourth proportional to 307,615.20, 461,336.40 and 97,317.60 is: 145,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,615.20 : 461,336.40 = 97,317.60 : x
  2. Step 2: Convert to fraction form
    307,615.20/461,336.40 = 97,317.60/x
  3. Step 3: Cross multiply
    307,615.20x = 461,336.40 × 97,317.60
  4. Step 4: Simplify right side
    307,615.20x = 44,896,151,240.64
  5. Step 5: Solve for x
    x = 44,896,151,240.64/307,615.20
  6. Step 6: Final answer
    x = 145,949.07

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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.