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Finding the Fourth Proportional to 299,798.94, 413,727.96 and 163,838.64

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Solution

The fourth proportional to 299,798.94, 413,727.96 and 163,838.64 is: 226,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,798.94 : 413,727.96 = 163,838.64 : x
  2. Step 2: Convert to fraction form
    299,798.94/413,727.96 = 163,838.64/x
  3. Step 3: Cross multiply
    299,798.94x = 413,727.96 × 163,838.64
  4. Step 4: Simplify right side
    299,798.94x = 67,784,626,296.37
  5. Step 5: Solve for x
    x = 67,784,626,296.37/299,798.94
  6. Step 6: Final answer
    x = 226,100.29

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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.