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Finding the Fourth Proportional to 294,943.43, 442,424.94 and 81,713.48

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Solution

The fourth proportional to 294,943.43, 442,424.94 and 81,713.48 is: 122,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943.43 : 442,424.94 = 81,713.48 : x
  2. Step 2: Convert to fraction form
    294,943.43/442,424.94 = 81,713.48/x
  3. Step 3: Cross multiply
    294,943.43x = 442,424.94 × 81,713.48
  4. Step 4: Simplify right side
    294,943.43x = 36,152,082,700.60
  5. Step 5: Solve for x
    x = 36,152,082,700.60/294,943.43
  6. Step 6: Final answer
    x = 122,572.94

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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.