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Finding the Fourth Proportional to 305,529.75, 421,631.06 and 171,393.75

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Solution

The fourth proportional to 305,529.75, 421,631.06 and 171,393.75 is: 236,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,529.75 : 421,631.06 = 171,393.75 : x
  2. Step 2: Convert to fraction form
    305,529.75/421,631.06 = 171,393.75/x
  3. Step 3: Cross multiply
    305,529.75x = 421,631.06 × 171,393.75
  4. Step 4: Simplify right side
    305,529.75x = 72,264,927,632.91
  5. Step 5: Solve for x
    x = 72,264,927,632.91/305,529.75
  6. Step 6: Final answer
    x = 236,523.38

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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.