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Finding the Fourth Proportional to 320,198.71, 441,861.89 and 184,276.32

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Solution

The fourth proportional to 320,198.71, 441,861.89 and 184,276.32 is: 254,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,198.71 : 441,861.89 = 184,276.32 : x
  2. Step 2: Convert to fraction form
    320,198.71/441,861.89 = 184,276.32/x
  3. Step 3: Cross multiply
    320,198.71x = 441,861.89 × 184,276.32
  4. Step 4: Simplify right side
    320,198.71x = 81,424,680,828.14
  5. Step 5: Solve for x
    x = 81,424,680,828.14/320,198.71
  6. Step 6: Final answer
    x = 254,294.22

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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.