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Finding the Fourth Proportional to 290,834.16, 401,345.34 and 161,769.84

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Solution

The fourth proportional to 290,834.16, 401,345.34 and 161,769.84 is: 223,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,834.16 : 401,345.34 = 161,769.84 : x
  2. Step 2: Convert to fraction form
    290,834.16/401,345.34 = 161,769.84/x
  3. Step 3: Cross multiply
    290,834.16x = 401,345.34 × 161,769.84
  4. Step 4: Simplify right side
    290,834.16x = 64,925,571,436.55
  5. Step 5: Solve for x
    x = 64,925,571,436.55/290,834.16
  6. Step 6: Final answer
    x = 223,239.15

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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.