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Finding the Fourth Proportional to 305,305.96, 421,305.05 and 169,330.15

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Solution

The fourth proportional to 305,305.96, 421,305.05 and 169,330.15 is: 233,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,305.96 : 421,305.05 = 169,330.15 : x
  2. Step 2: Convert to fraction form
    305,305.96/421,305.05 = 169,330.15/x
  3. Step 3: Cross multiply
    305,305.96x = 421,305.05 × 169,330.15
  4. Step 4: Simplify right side
    305,305.96x = 71,339,644,939.89
  5. Step 5: Solve for x
    x = 71,339,644,939.89/305,305.96
  6. Step 6: Final answer
    x = 233,666.07

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