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Finding the Fourth Proportional to 305,583.20, 421,693.68 and 169,623.20

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Solution

The fourth proportional to 305,583.20, 421,693.68 and 169,623.20 is: 234,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,583.20 : 421,693.68 = 169,623.20 : x
  2. Step 2: Convert to fraction form
    305,583.20/421,693.68 = 169,623.20/x
  3. Step 3: Cross multiply
    305,583.20x = 421,693.68 × 169,623.20
  4. Step 4: Simplify right side
    305,583.20x = 71,529,031,421.38
  5. Step 5: Solve for x
    x = 71,529,031,421.38/305,583.20
  6. Step 6: Final answer
    x = 234,073.83

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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.