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Finding the Fourth Proportional to 296,491.56, 409,206.48 and 181,833.96

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Solution

The fourth proportional to 296,491.56, 409,206.48 and 181,833.96 is: 250,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,491.56 : 409,206.48 = 181,833.96 : x
  2. Step 2: Convert to fraction form
    296,491.56/409,206.48 = 181,833.96/x
  3. Step 3: Cross multiply
    296,491.56x = 409,206.48 × 181,833.96
  4. Step 4: Simplify right side
    296,491.56x = 74,407,634,716.06
  5. Step 5: Solve for x
    x = 74,407,634,716.06/296,491.56
  6. Step 6: Final answer
    x = 250,960.38

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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.