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Finding the Fourth Proportional to 533,074.21, 735,571.33 and 342,345.94

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Solution

The fourth proportional to 533,074.21, 735,571.33 and 342,345.94 is: 472,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,074.21 : 735,571.33 = 342,345.94 : x
  2. Step 2: Convert to fraction form
    533,074.21/735,571.33 = 342,345.94/x
  3. Step 3: Cross multiply
    533,074.21x = 735,571.33 × 342,345.94
  4. Step 4: Simplify right side
    533,074.21x = 251,819,858,405.90
  5. Step 5: Solve for x
    x = 251,819,858,405.90/533,074.21
  6. Step 6: Final answer
    x = 472,391.75

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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.