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Finding the Fourth Proportional to 310,542.40, 465,912.03 and 110,858.50

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Solution

The fourth proportional to 310,542.40, 465,912.03 and 110,858.50 is: 166,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,542.40 : 465,912.03 = 110,858.50 : x
  2. Step 2: Convert to fraction form
    310,542.40/465,912.03 = 110,858.50/x
  3. Step 3: Cross multiply
    310,542.40x = 465,912.03 × 110,858.50
  4. Step 4: Simplify right side
    310,542.40x = 51,650,308,777.76
  5. Step 5: Solve for x
    x = 51,650,308,777.76/310,542.40
  6. Step 6: Final answer
    x = 166,322.89

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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.