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Finding the Fourth Proportional to 380,806.38, 525,518.56 and 208,722.96

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Solution

The fourth proportional to 380,806.38, 525,518.56 and 208,722.96 is: 288,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,806.38 : 525,518.56 = 208,722.96 : x
  2. Step 2: Convert to fraction form
    380,806.38/525,518.56 = 208,722.96/x
  3. Step 3: Cross multiply
    380,806.38x = 525,518.56 × 208,722.96
  4. Step 4: Simplify right side
    380,806.38x = 109,687,789,378.14
  5. Step 5: Solve for x
    x = 109,687,789,378.14/380,806.38
  6. Step 6: Final answer
    x = 288,040.84

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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.