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Finding the Fourth Proportional to 380,805.38, 525,517.18 and 208,721.96

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Solution

The fourth proportional to 380,805.38, 525,517.18 and 208,721.96 is: 288,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,805.38 : 525,517.18 = 208,721.96 : x
  2. Step 2: Convert to fraction form
    380,805.38/525,517.18 = 208,721.96/x
  3. Step 3: Cross multiply
    380,805.38x = 525,517.18 × 208,721.96
  4. Step 4: Simplify right side
    380,805.38x = 109,686,975,823.27
  5. Step 5: Solve for x
    x = 109,686,975,823.27/380,805.38
  6. Step 6: Final answer
    x = 288,039.46

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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.