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Finding the Fourth Proportional to 333,224.16, 459,847.24 and 180,261.73

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Solution

The fourth proportional to 333,224.16, 459,847.24 and 180,261.73 is: 248,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,224.16 : 459,847.24 = 180,261.73 : x
  2. Step 2: Convert to fraction form
    333,224.16/459,847.24 = 180,261.73/x
  3. Step 3: Cross multiply
    333,224.16x = 459,847.24 × 180,261.73
  4. Step 4: Simplify right side
    333,224.16x = 82,892,859,018.13
  5. Step 5: Solve for x
    x = 82,892,859,018.13/333,224.16
  6. Step 6: Final answer
    x = 248,760.05

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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.