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Finding the Fourth Proportional to 472,075.25, 708,439.91 and 187,736.67

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Solution

The fourth proportional to 472,075.25, 708,439.91 and 187,736.67 is: 281,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,075.25 : 708,439.91 = 187,736.67 : x
  2. Step 2: Convert to fraction form
    472,075.25/708,439.91 = 187,736.67/x
  3. Step 3: Cross multiply
    472,075.25x = 708,439.91 × 187,736.67
  4. Step 4: Simplify right side
    472,075.25x = 133,000,150,067.84
  5. Step 5: Solve for x
    x = 133,000,150,067.84/472,075.25
  6. Step 6: Final answer
    x = 281,735.06

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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.