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Finding the Fourth Proportional to 285,093.40, 393,419.14 and 157,774.36

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Solution

The fourth proportional to 285,093.40, 393,419.14 and 157,774.36 is: 217,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,093.40 : 393,419.14 = 157,774.36 : x
  2. Step 2: Convert to fraction form
    285,093.40/393,419.14 = 157,774.36/x
  3. Step 3: Cross multiply
    285,093.40x = 393,419.14 × 157,774.36
  4. Step 4: Simplify right side
    285,093.40x = 62,071,453,025.25
  5. Step 5: Solve for x
    x = 62,071,453,025.25/285,093.40
  6. Step 6: Final answer
    x = 217,723.22

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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.