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Finding the Fourth Proportional to 299,906.94, 413,870.64 and 163,940.93

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Solution

The fourth proportional to 299,906.94, 413,870.64 and 163,940.93 is: 226,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,906.94 : 413,870.64 = 163,940.93 : x
  2. Step 2: Convert to fraction form
    299,906.94/413,870.64 = 163,940.93/x
  3. Step 3: Cross multiply
    299,906.94x = 413,870.64 × 163,940.93
  4. Step 4: Simplify right side
    299,906.94x = 67,850,335,551.94
  5. Step 5: Solve for x
    x = 67,850,335,551.94/299,906.94
  6. Step 6: Final answer
    x = 226,237.96

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1.5x scale

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.