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Finding the Fourth Proportional to 299,708.73, 413,626.66 and 163,763.35

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Solution

The fourth proportional to 299,708.73, 413,626.66 and 163,763.35 is: 226,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,708.73 : 413,626.66 = 163,763.35 : x
  2. Step 2: Convert to fraction form
    299,708.73/413,626.66 = 163,763.35/x
  3. Step 3: Cross multiply
    299,708.73x = 413,626.66 × 163,763.35
  4. Step 4: Simplify right side
    299,708.73x = 67,736,886,047.44
  5. Step 5: Solve for x
    x = 67,736,886,047.44/299,708.73
  6. Step 6: Final answer
    x = 226,009.05

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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.