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Finding the Fourth Proportional to 477,993.68, 659,655.06 and 263,131.46

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Solution

The fourth proportional to 477,993.68, 659,655.06 and 263,131.46 is: 363,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,993.68 : 659,655.06 = 263,131.46 : x
  2. Step 2: Convert to fraction form
    477,993.68/659,655.06 = 263,131.46/x
  3. Step 3: Cross multiply
    477,993.68x = 659,655.06 × 263,131.46
  4. Step 4: Simplify right side
    477,993.68x = 173,575,999,034.19
  5. Step 5: Solve for x
    x = 173,575,999,034.19/477,993.68
  6. Step 6: Final answer
    x = 363,134.51

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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.