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Finding the Fourth Proportional to 415,517.16, 622,783.56 and 190,688.08

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Solution

The fourth proportional to 415,517.16, 622,783.56 and 190,688.08 is: 285,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,517.16 : 622,783.56 = 190,688.08 : x
  2. Step 2: Convert to fraction form
    415,517.16/622,783.56 = 190,688.08/x
  3. Step 3: Cross multiply
    415,517.16x = 622,783.56 × 190,688.08
  4. Step 4: Simplify right side
    415,517.16x = 118,757,401,311.97
  5. Step 5: Solve for x
    x = 118,757,401,311.97/415,517.16
  6. Step 6: Final answer
    x = 285,806.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.