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Finding the Fourth Proportional to 477,735.93, 659,200.23 and 273,747.60

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Solution

The fourth proportional to 477,735.93, 659,200.23 and 273,747.60 is: 377,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,735.93 : 659,200.23 = 273,747.60 : x
  2. Step 2: Convert to fraction form
    477,735.93/659,200.23 = 273,747.60/x
  3. Step 3: Cross multiply
    477,735.93x = 659,200.23 × 273,747.60
  4. Step 4: Simplify right side
    477,735.93x = 180,454,480,881.95
  5. Step 5: Solve for x
    x = 180,454,480,881.95/477,735.93
  6. Step 6: Final answer
    x = 377,728.51

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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.