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Finding the Fourth Proportional to 383,145.84, 528,757.67 and 213,379.97

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Solution

The fourth proportional to 383,145.84, 528,757.67 and 213,379.97 is: 294,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,145.84 : 528,757.67 = 213,379.97 : x
  2. Step 2: Convert to fraction form
    383,145.84/528,757.67 = 213,379.97/x
  3. Step 3: Cross multiply
    383,145.84x = 528,757.67 × 213,379.97
  4. Step 4: Simplify right side
    383,145.84x = 112,826,292,051.18
  5. Step 5: Solve for x
    x = 112,826,292,051.18/383,145.84
  6. Step 6: Final answer
    x = 294,473.49

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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.