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Finding the Fourth Proportional to 477,509.50, 659,056.70 and 273,697.03

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Solution

The fourth proportional to 477,509.50, 659,056.70 and 273,697.03 is: 377,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,509.50 : 659,056.70 = 273,697.03 : x
  2. Step 2: Convert to fraction form
    477,509.50/659,056.70 = 273,697.03/x
  3. Step 3: Cross multiply
    477,509.50x = 659,056.70 × 273,697.03
  4. Step 4: Simplify right side
    477,509.50x = 180,381,861,391.60
  5. Step 5: Solve for x
    x = 180,381,861,391.60/477,509.50
  6. Step 6: Final answer
    x = 377,755.54

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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.