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Finding the Fourth Proportional to 307,466.80, 461,046.60 and 141,066.80

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Solution

The fourth proportional to 307,466.80, 461,046.60 and 141,066.80 is: 211,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,466.80 : 461,046.60 = 141,066.80 : x
  2. Step 2: Convert to fraction form
    307,466.80/461,046.60 = 141,066.80/x
  3. Step 3: Cross multiply
    307,466.80x = 461,046.60 × 141,066.80
  4. Step 4: Simplify right side
    307,466.80x = 65,038,368,512.88
  5. Step 5: Solve for x
    x = 65,038,368,512.88/307,466.80
  6. Step 6: Final answer
    x = 211,529.73

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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.