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Finding the Fourth Proportional to 477,614.88, 659,114.01 and 273,661.74

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Solution

The fourth proportional to 477,614.88, 659,114.01 and 273,661.74 is: 377,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,614.88 : 659,114.01 = 273,661.74 : x
  2. Step 2: Convert to fraction form
    477,614.88/659,114.01 = 273,661.74/x
  3. Step 3: Cross multiply
    477,614.88x = 659,114.01 × 273,661.74
  4. Step 4: Simplify right side
    477,614.88x = 180,374,286,834.98
  5. Step 5: Solve for x
    x = 180,374,286,834.98/477,614.88
  6. Step 6: Final answer
    x = 377,656.34

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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.