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Finding the Fourth Proportional to 300,035.34, 414,048.92 and 170,970.14

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Solution

The fourth proportional to 300,035.34, 414,048.92 and 170,970.14 is: 235,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,035.34 : 414,048.92 = 170,970.14 : x
  2. Step 2: Convert to fraction form
    300,035.34/414,048.92 = 170,970.14/x
  3. Step 3: Cross multiply
    300,035.34x = 414,048.92 × 170,970.14
  4. Step 4: Simplify right side
    300,035.34x = 70,790,001,999.52
  5. Step 5: Solve for x
    x = 70,790,001,999.52/300,035.34
  6. Step 6: Final answer
    x = 235,938.88

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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.