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Finding the Fourth Proportional to 296,302.16, 408,571.08 and 188,751.44

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Solution

The fourth proportional to 296,302.16, 408,571.08 and 188,751.44 is: 260,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,302.16 : 408,571.08 = 188,751.44 : x
  2. Step 2: Convert to fraction form
    296,302.16/408,571.08 = 188,751.44/x
  3. Step 3: Cross multiply
    296,302.16x = 408,571.08 × 188,751.44
  4. Step 4: Simplify right side
    296,302.16x = 77,118,379,692.36
  5. Step 5: Solve for x
    x = 77,118,379,692.36/296,302.16
  6. Step 6: Final answer
    x = 260,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.