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Finding the Fourth Proportional to 333,202.85, 459,673.85 and 195,311.86

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Solution

The fourth proportional to 333,202.85, 459,673.85 and 195,311.86 is: 269,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,202.85 : 459,673.85 = 195,311.86 : x
  2. Step 2: Convert to fraction form
    333,202.85/459,673.85 = 195,311.86/x
  3. Step 3: Cross multiply
    333,202.85x = 459,673.85 × 195,311.86
  4. Step 4: Simplify right side
    333,202.85x = 89,779,753,975.96
  5. Step 5: Solve for x
    x = 89,779,753,975.96/333,202.85
  6. Step 6: Final answer
    x = 269,444.74

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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.