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Finding the Fourth Proportional to 477,993, 659,674.26 and 263,176.68

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Solution

The fourth proportional to 477,993, 659,674.26 and 263,176.68 is: 363,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,993 : 659,674.26 = 263,176.68 : x
  2. Step 2: Convert to fraction form
    477,993/659,674.26 = 263,176.68/x
  3. Step 3: Cross multiply
    477,993x = 659,674.26 × 263,176.68
  4. Step 4: Simplify right side
    477,993x = 173,610,881,628.26
  5. Step 5: Solve for x
    x = 173,610,881,628.26/477,993
  6. Step 6: Final answer
    x = 363,208.00

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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.