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Finding the Fourth Proportional to 477,270.54, 658,645.81 and 259,493.86

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Solution

The fourth proportional to 477,270.54, 658,645.81 and 259,493.86 is: 358,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,270.54 : 658,645.81 = 259,493.86 : x
  2. Step 2: Convert to fraction form
    477,270.54/658,645.81 = 259,493.86/x
  3. Step 3: Cross multiply
    477,270.54x = 658,645.81 × 259,493.86
  4. Step 4: Simplify right side
    477,270.54x = 170,914,543,609.73
  5. Step 5: Solve for x
    x = 170,914,543,609.73/477,270.54
  6. Step 6: Final answer
    x = 358,108.31

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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.