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Finding the Fourth Proportional to 300,059.40, 414,121.14 and 172,740.36

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Solution

The fourth proportional to 300,059.40, 414,121.14 and 172,740.36 is: 238,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,059.40 : 414,121.14 = 172,740.36 : x
  2. Step 2: Convert to fraction form
    300,059.40/414,121.14 = 172,740.36/x
  3. Step 3: Cross multiply
    300,059.40x = 414,121.14 × 172,740.36
  4. Step 4: Simplify right side
    300,059.40x = 71,535,434,807.21
  5. Step 5: Solve for x
    x = 71,535,434,807.21/300,059.40
  6. Step 6: Final answer
    x = 238,404.25

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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.