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Finding the Fourth Proportional to 294,668, 442,133.16 and 154,393.84

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Solution

The fourth proportional to 294,668, 442,133.16 and 154,393.84 is: 231,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,668 : 442,133.16 = 154,393.84 : x
  2. Step 2: Convert to fraction form
    294,668/442,133.16 = 154,393.84/x
  3. Step 3: Cross multiply
    294,668x = 442,133.16 × 154,393.84
  4. Step 4: Simplify right side
    294,668x = 68,262,636,363.73
  5. Step 5: Solve for x
    x = 68,262,636,363.73/294,668
  6. Step 6: Final answer
    x = 231,659.48

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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.