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Finding the Fourth Proportional to 300,573.94, 414,784 and 171,510.07

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Solution

The fourth proportional to 300,573.94, 414,784 and 171,510.07 is: 236,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,573.94 : 414,784 = 171,510.07 : x
  2. Step 2: Convert to fraction form
    300,573.94/414,784 = 171,510.07/x
  3. Step 3: Cross multiply
    300,573.94x = 414,784 × 171,510.07
  4. Step 4: Simplify right side
    300,573.94x = 71,139,632,874.88
  5. Step 5: Solve for x
    x = 71,139,632,874.88/300,573.94
  6. Step 6: Final answer
    x = 236,679.31

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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.