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Finding the Fourth Proportional to 471,935.10, 707,510.73 and 187,450.14

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Solution

The fourth proportional to 471,935.10, 707,510.73 and 187,450.14 is: 281,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,935.10 : 707,510.73 = 187,450.14 : x
  2. Step 2: Convert to fraction form
    471,935.10/707,510.73 = 187,450.14/x
  3. Step 3: Cross multiply
    471,935.10x = 707,510.73 × 187,450.14
  4. Step 4: Simplify right side
    471,935.10x = 132,622,985,390.00
  5. Step 5: Solve for x
    x = 132,622,985,390.00/471,935.10
  6. Step 6: Final answer
    x = 281,019.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.