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Finding the Fourth Proportional to 380,626.34, 525,221.97 and 210,817.94

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Solution

The fourth proportional to 380,626.34, 525,221.97 and 210,817.94 is: 290,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,626.34 : 525,221.97 = 210,817.94 : x
  2. Step 2: Convert to fraction form
    380,626.34/525,221.97 = 210,817.94/x
  3. Step 3: Cross multiply
    380,626.34x = 525,221.97 × 210,817.94
  4. Step 4: Simplify right side
    380,626.34x = 110,726,213,758.14
  5. Step 5: Solve for x
    x = 110,726,213,758.14/380,626.34
  6. Step 6: Final answer
    x = 290,905.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.