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Finding the Fourth Proportional to 320,255.63, 441,996.71 and 184,286.80

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Solution

The fourth proportional to 320,255.63, 441,996.71 and 184,286.80 is: 254,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,255.63 : 441,996.71 = 184,286.80 : x
  2. Step 2: Convert to fraction form
    320,255.63/441,996.71 = 184,286.80/x
  3. Step 3: Cross multiply
    320,255.63x = 441,996.71 × 184,286.80
  4. Step 4: Simplify right side
    320,255.63x = 81,454,159,296.43
  5. Step 5: Solve for x
    x = 81,454,159,296.43/320,255.63
  6. Step 6: Final answer
    x = 254,341.07

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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.