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Finding the Fourth Proportional to 307,568.40, 461,352.60 and 97,270.80

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Solution

The fourth proportional to 307,568.40, 461,352.60 and 97,270.80 is: 145,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,568.40 : 461,352.60 = 97,270.80 : x
  2. Step 2: Convert to fraction form
    307,568.40/461,352.60 = 97,270.80/x
  3. Step 3: Cross multiply
    307,568.40x = 461,352.60 × 97,270.80
  4. Step 4: Simplify right side
    307,568.40x = 44,876,136,484.08
  5. Step 5: Solve for x
    x = 44,876,136,484.08/307,568.40
  6. Step 6: Final answer
    x = 145,906.20

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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.