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Finding the Fourth Proportional to 477,614.70, 659,113.74 and 273,661.50

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Solution

The fourth proportional to 477,614.70, 659,113.74 and 273,661.50 is: 377,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,614.70 : 659,113.74 = 273,661.50 : x
  2. Step 2: Convert to fraction form
    477,614.70/659,113.74 = 273,661.50/x
  3. Step 3: Cross multiply
    477,614.70x = 659,113.74 × 273,661.50
  4. Step 4: Simplify right side
    477,614.70x = 180,374,054,759.01
  5. Step 5: Solve for x
    x = 180,374,054,759.01/477,614.70
  6. Step 6: Final answer
    x = 377,656.00

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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.