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Finding the Fourth Proportional to 533,086.28, 735,588.06 and 342,358.04

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Solution

The fourth proportional to 533,086.28, 735,588.06 and 342,358.04 is: 472,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,086.28 : 735,588.06 = 342,358.04 : x
  2. Step 2: Convert to fraction form
    533,086.28/735,588.06 = 342,358.04/x
  3. Step 3: Cross multiply
    533,086.28x = 735,588.06 × 342,358.04
  4. Step 4: Simplify right side
    533,086.28x = 251,834,486,469.00
  5. Step 5: Solve for x
    x = 251,834,486,469.00/533,086.28
  6. Step 6: Final answer
    x = 472,408.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.