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Finding the Fourth Proportional to 305,305.10, 421,341.45 and 169,382.24

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Solution

The fourth proportional to 305,305.10, 421,341.45 and 169,382.24 is: 233,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,305.10 : 421,341.45 = 169,382.24 : x
  2. Step 2: Convert to fraction form
    305,305.10/421,341.45 = 169,382.24/x
  3. Step 3: Cross multiply
    305,305.10x = 421,341.45 × 169,382.24
  4. Step 4: Simplify right side
    305,305.10x = 71,367,758,605.85
  5. Step 5: Solve for x
    x = 71,367,758,605.85/305,305.10
  6. Step 6: Final answer
    x = 233,758.82

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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.