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Finding the Fourth Proportional to 296,786.33, 409,572.67 and 182,128.31

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Solution

The fourth proportional to 296,786.33, 409,572.67 and 182,128.31 is: 251,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,786.33 : 409,572.67 = 182,128.31 : x
  2. Step 2: Convert to fraction form
    296,786.33/409,572.67 = 182,128.31/x
  3. Step 3: Cross multiply
    296,786.33x = 409,572.67 × 182,128.31
  4. Step 4: Simplify right side
    296,786.33x = 74,594,775,706.10
  5. Step 5: Solve for x
    x = 74,594,775,706.10/296,786.33
  6. Step 6: Final answer
    x = 251,341.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.