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Finding the Fourth Proportional to 477,840.48, 659,406.60 and 271,146.51

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Solution

The fourth proportional to 477,840.48, 659,406.60 and 271,146.51 is: 374,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,840.48 : 659,406.60 = 271,146.51 : x
  2. Step 2: Convert to fraction form
    477,840.48/659,406.60 = 271,146.51/x
  3. Step 3: Cross multiply
    477,840.48x = 659,406.60 × 271,146.51
  4. Step 4: Simplify right side
    477,840.48x = 178,795,798,260.97
  5. Step 5: Solve for x
    x = 178,795,798,260.97/477,840.48
  6. Step 6: Final answer
    x = 374,174.66

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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.