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Finding the Fourth Proportional to 477,838.48, 659,403.84 and 271,144.51

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Solution

The fourth proportional to 477,838.48, 659,403.84 and 271,144.51 is: 374,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,838.48 : 659,403.84 = 271,144.51 : x
  2. Step 2: Convert to fraction form
    477,838.48/659,403.84 = 271,144.51/x
  3. Step 3: Cross multiply
    477,838.48x = 659,403.84 × 271,144.51
  4. Step 4: Simplify right side
    477,838.48x = 178,793,731,088.92
  5. Step 5: Solve for x
    x = 178,793,731,088.92/477,838.48
  6. Step 6: Final answer
    x = 374,171.90

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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.