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Finding the Fourth Proportional to 333,742.79, 500,614.34 and 81,023.60

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Solution

The fourth proportional to 333,742.79, 500,614.34 and 81,023.60 is: 121,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,742.79 : 500,614.34 = 81,023.60 : x
  2. Step 2: Convert to fraction form
    333,742.79/500,614.34 = 81,023.60/x
  3. Step 3: Cross multiply
    333,742.79x = 500,614.34 × 81,023.60
  4. Step 4: Simplify right side
    333,742.79x = 40,561,576,884.84
  5. Step 5: Solve for x
    x = 40,561,576,884.84/333,742.79
  6. Step 6: Final answer
    x = 121,535.44

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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.