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Finding the Fourth Proportional to 303,534.36, 418,919.66 and 169,407

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Solution

The fourth proportional to 303,534.36, 418,919.66 and 169,407 is: 233,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,534.36 : 418,919.66 = 169,407 : x
  2. Step 2: Convert to fraction form
    303,534.36/418,919.66 = 169,407/x
  3. Step 3: Cross multiply
    303,534.36x = 418,919.66 × 169,407
  4. Step 4: Simplify right side
    303,534.36x = 70,967,922,841.62
  5. Step 5: Solve for x
    x = 70,967,922,841.62/303,534.36
  6. Step 6: Final answer
    x = 233,805.24

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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.