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Finding the Fourth Proportional to 310,933.25, 466,481.34 and 97,692.55

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Solution

The fourth proportional to 310,933.25, 466,481.34 and 97,692.55 is: 146,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,933.25 : 466,481.34 = 97,692.55 : x
  2. Step 2: Convert to fraction form
    310,933.25/466,481.34 = 97,692.55/x
  3. Step 3: Cross multiply
    310,933.25x = 466,481.34 × 97,692.55
  4. Step 4: Simplify right side
    310,933.25x = 45,571,751,632.02
  5. Step 5: Solve for x
    x = 45,571,751,632.02/310,933.25
  6. Step 6: Final answer
    x = 146,564.42

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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.