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Finding the Fourth Proportional to 314,438.25, 434,194.49 and 304,270.36

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Solution

The fourth proportional to 314,438.25, 434,194.49 and 304,270.36 is: 420,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,438.25 : 434,194.49 = 304,270.36 : x
  2. Step 2: Convert to fraction form
    314,438.25/434,194.49 = 304,270.36/x
  3. Step 3: Cross multiply
    314,438.25x = 434,194.49 × 304,270.36
  4. Step 4: Simplify right side
    314,438.25x = 132,112,512,846.92
  5. Step 5: Solve for x
    x = 132,112,512,846.92/314,438.25
  6. Step 6: Final answer
    x = 420,154.07

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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.