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Finding the Fourth Proportional to 307,759.74, 461,706.57 and 97,399.50

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Solution

The fourth proportional to 307,759.74, 461,706.57 and 97,399.50 is: 146,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,759.74 : 461,706.57 = 97,399.50 : x
  2. Step 2: Convert to fraction form
    307,759.74/461,706.57 = 97,399.50/x
  3. Step 3: Cross multiply
    307,759.74x = 461,706.57 × 97,399.50
  4. Step 4: Simplify right side
    307,759.74x = 44,969,989,064.72
  5. Step 5: Solve for x
    x = 44,969,989,064.72/307,759.74
  6. Step 6: Final answer
    x = 146,120.44

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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.