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Finding the Fourth Proportional to 383,933.40, 575,165.70 and 206,381.40

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Solution

The fourth proportional to 383,933.40, 575,165.70 and 206,381.40 is: 309,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,933.40 : 575,165.70 = 206,381.40 : x
  2. Step 2: Convert to fraction form
    383,933.40/575,165.70 = 206,381.40/x
  3. Step 3: Cross multiply
    383,933.40x = 575,165.70 × 206,381.40
  4. Step 4: Simplify right side
    383,933.40x = 118,703,502,397.98
  5. Step 5: Solve for x
    x = 118,703,502,397.98/383,933.40
  6. Step 6: Final answer
    x = 309,177.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.