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Finding the Fourth Proportional to 380,512.60, 525,114.78 and 219,340.60

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Solution

The fourth proportional to 380,512.60, 525,114.78 and 219,340.60 is: 302,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,512.60 : 525,114.78 = 219,340.60 : x
  2. Step 2: Convert to fraction form
    380,512.60/525,114.78 = 219,340.60/x
  3. Step 3: Cross multiply
    380,512.60x = 525,114.78 × 219,340.60
  4. Step 4: Simplify right side
    380,512.60x = 115,178,990,914.07
  5. Step 5: Solve for x
    x = 115,178,990,914.07/380,512.60
  6. Step 6: Final answer
    x = 302,694.29

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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.