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Finding the Fourth Proportional to 307,292.94, 424,092.11 and 186,464.84

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Solution

The fourth proportional to 307,292.94, 424,092.11 and 186,464.84 is: 257,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,292.94 : 424,092.11 = 186,464.84 : x
  2. Step 2: Convert to fraction form
    307,292.94/424,092.11 = 186,464.84/x
  3. Step 3: Cross multiply
    307,292.94x = 424,092.11 × 186,464.84
  4. Step 4: Simplify right side
    307,292.94x = 79,078,264,383.63
  5. Step 5: Solve for x
    x = 79,078,264,383.63/307,292.94
  6. Step 6: Final answer
    x = 257,338.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.