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Finding the Fourth Proportional to 298,392.24, 411,781.08 and 164,256.24

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Solution

The fourth proportional to 298,392.24, 411,781.08 and 164,256.24 is: 226,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,392.24 : 411,781.08 = 164,256.24 : x
  2. Step 2: Convert to fraction form
    298,392.24/411,781.08 = 164,256.24/x
  3. Step 3: Cross multiply
    298,392.24x = 411,781.08 × 164,256.24
  4. Step 4: Simplify right side
    298,392.24x = 67,637,611,903.94
  5. Step 5: Solve for x
    x = 67,637,611,903.94/298,392.24
  6. Step 6: Final answer
    x = 226,673.49

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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.