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Finding the Fourth Proportional to 290,256.84, 400,518.17 and 161,177.77

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Solution

The fourth proportional to 290,256.84, 400,518.17 and 161,177.77 is: 222,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,256.84 : 400,518.17 = 161,177.77 : x
  2. Step 2: Convert to fraction form
    290,256.84/400,518.17 = 161,177.77/x
  3. Step 3: Cross multiply
    290,256.84x = 400,518.17 × 161,177.77
  4. Step 4: Simplify right side
    290,256.84x = 64,554,624,744.31
  5. Step 5: Solve for x
    x = 64,554,624,744.31/290,256.84
  6. Step 6: Final answer
    x = 222,405.18

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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.