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Finding the Fourth Proportional to 294,990.70, 407,087.04 and 160,854.70

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Solution

The fourth proportional to 294,990.70, 407,087.04 and 160,854.70 is: 221,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,990.70 : 407,087.04 = 160,854.70 : x
  2. Step 2: Convert to fraction form
    294,990.70/407,087.04 = 160,854.70/x
  3. Step 3: Cross multiply
    294,990.70x = 407,087.04 × 160,854.70
  4. Step 4: Simplify right side
    294,990.70x = 65,481,863,693.09
  5. Step 5: Solve for x
    x = 65,481,863,693.09/294,990.70
  6. Step 6: Final answer
    x = 221,979.42

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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.