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Finding the Fourth Proportional to 533,391.92, 735,734.02 and 342,102.32

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Solution

The fourth proportional to 533,391.92, 735,734.02 and 342,102.32 is: 471,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,391.92 : 735,734.02 = 342,102.32 : x
  2. Step 2: Convert to fraction form
    533,391.92/735,734.02 = 342,102.32/x
  3. Step 3: Cross multiply
    533,391.92x = 735,734.02 × 342,102.32
  4. Step 4: Simplify right side
    533,391.92x = 251,696,315,144.93
  5. Step 5: Solve for x
    x = 251,696,315,144.93/533,391.92
  6. Step 6: Final answer
    x = 471,878.76

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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.