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Finding the Fourth Proportional to 290,622.23, 401,106.82 and 169,763.14

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Solution

The fourth proportional to 290,622.23, 401,106.82 and 169,763.14 is: 234,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,622.23 : 401,106.82 = 169,763.14 : x
  2. Step 2: Convert to fraction form
    290,622.23/401,106.82 = 169,763.14/x
  3. Step 3: Cross multiply
    290,622.23x = 401,106.82 × 169,763.14
  4. Step 4: Simplify right side
    290,622.23x = 68,093,151,233.08
  5. Step 5: Solve for x
    x = 68,093,151,233.08/290,622.23
  6. Step 6: Final answer
    x = 234,301.25

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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.