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Finding the Fourth Proportional to 307,541.77, 461,380.23 and 94,338.93

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Solution

The fourth proportional to 307,541.77, 461,380.23 and 94,338.93 is: 141,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,541.77 : 461,380.23 = 94,338.93 : x
  2. Step 2: Convert to fraction form
    307,541.77/461,380.23 = 94,338.93/x
  3. Step 3: Cross multiply
    307,541.77x = 461,380.23 × 94,338.93
  4. Step 4: Simplify right side
    307,541.77x = 43,526,117,221.35
  5. Step 5: Solve for x
    x = 43,526,117,221.35/307,541.77
  6. Step 6: Final answer
    x = 141,529.12

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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.