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Finding the Fourth Proportional to 477,665.60, 659,272.80 and 273,853.44

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Solution

The fourth proportional to 477,665.60, 659,272.80 and 273,853.44 is: 377,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,665.60 : 659,272.80 = 273,853.44 : x
  2. Step 2: Convert to fraction form
    477,665.60/659,272.80 = 273,853.44/x
  3. Step 3: Cross multiply
    477,665.60x = 659,272.80 × 273,853.44
  4. Step 4: Simplify right side
    477,665.60x = 180,544,124,178.43
  5. Step 5: Solve for x
    x = 180,544,124,178.43/477,665.60
  6. Step 6: Final answer
    x = 377,971.79

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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.