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Finding the Fourth Proportional to 477,055.82, 658,338.46 and 262,217.90

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Solution

The fourth proportional to 477,055.82, 658,338.46 and 262,217.90 is: 361,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,055.82 : 658,338.46 = 262,217.90 : x
  2. Step 2: Convert to fraction form
    477,055.82/658,338.46 = 262,217.90/x
  3. Step 3: Cross multiply
    477,055.82x = 658,338.46 × 262,217.90
  4. Step 4: Simplify right side
    477,055.82x = 172,628,128,470.43
  5. Step 5: Solve for x
    x = 172,628,128,470.43/477,055.82
  6. Step 6: Final answer
    x = 361,861.49

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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.