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Finding the Fourth Proportional to 300,289.68, 414,386.04 and 172,983.60

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Solution

The fourth proportional to 300,289.68, 414,386.04 and 172,983.60 is: 238,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,289.68 : 414,386.04 = 172,983.60 : x
  2. Step 2: Convert to fraction form
    300,289.68/414,386.04 = 172,983.60/x
  3. Step 3: Cross multiply
    300,289.68x = 414,386.04 × 172,983.60
  4. Step 4: Simplify right side
    300,289.68x = 71,681,988,988.94
  5. Step 5: Solve for x
    x = 71,681,988,988.94/300,289.68
  6. Step 6: Final answer
    x = 238,709.47

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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.