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Finding the Fourth Proportional to 333,242.56, 459,872.87 and 180,280.34

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Solution

The fourth proportional to 333,242.56, 459,872.87 and 180,280.34 is: 248,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,242.56 : 459,872.87 = 180,280.34 : x
  2. Step 2: Convert to fraction form
    333,242.56/459,872.87 = 180,280.34/x
  3. Step 3: Cross multiply
    333,242.56x = 459,872.87 × 180,280.34
  4. Step 4: Simplify right side
    333,242.56x = 82,906,037,360.38
  5. Step 5: Solve for x
    x = 82,906,037,360.38/333,242.56
  6. Step 6: Final answer
    x = 248,785.86

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Why These Related Problems?

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