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Finding the Fourth Proportional to 296,466.95, 408,738.33 and 188,997.77

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Solution

The fourth proportional to 296,466.95, 408,738.33 and 188,997.77 is: 260,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,466.95 : 408,738.33 = 188,997.77 : x
  2. Step 2: Convert to fraction form
    296,466.95/408,738.33 = 188,997.77/x
  3. Step 3: Cross multiply
    296,466.95x = 408,738.33 × 188,997.77
  4. Step 4: Simplify right side
    296,466.95x = 77,250,630,839.83
  5. Step 5: Solve for x
    x = 77,250,630,839.83/296,466.95
  6. Step 6: Final answer
    x = 260,570.81

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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.