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Finding the Fourth Proportional to 333,678.96, 460,477.16 and 182,778.48

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Solution

The fourth proportional to 333,678.96, 460,477.16 and 182,778.48 is: 252,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,678.96 : 460,477.16 = 182,778.48 : x
  2. Step 2: Convert to fraction form
    333,678.96/460,477.16 = 182,778.48/x
  3. Step 3: Cross multiply
    333,678.96x = 460,477.16 × 182,778.48
  4. Step 4: Simplify right side
    333,678.96x = 84,165,315,379.52
  5. Step 5: Solve for x
    x = 84,165,315,379.52/333,678.96
  6. Step 6: Final answer
    x = 252,234.41

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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.