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Finding the Fourth Proportional to 320,083.70, 441,709.74 and 176,853.42

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Solution

The fourth proportional to 320,083.70, 441,709.74 and 176,853.42 is: 244,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,083.70 : 441,709.74 = 176,853.42 : x
  2. Step 2: Convert to fraction form
    320,083.70/441,709.74 = 176,853.42/x
  3. Step 3: Cross multiply
    320,083.70x = 441,709.74 × 176,853.42
  4. Step 4: Simplify right side
    320,083.70x = 78,117,878,166.31
  5. Step 5: Solve for x
    x = 78,117,878,166.31/320,083.70
  6. Step 6: Final answer
    x = 244,054.54

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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.