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Finding the Fourth Proportional to 477,748.94, 659,296.67 and 262,883.48

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Solution

The fourth proportional to 477,748.94, 659,296.67 and 262,883.48 is: 362,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,748.94 : 659,296.67 = 262,883.48 : x
  2. Step 2: Convert to fraction form
    477,748.94/659,296.67 = 262,883.48/x
  3. Step 3: Cross multiply
    477,748.94x = 659,296.67 × 262,883.48
  4. Step 4: Simplify right side
    477,748.94x = 173,318,198,351.11
  5. Step 5: Solve for x
    x = 173,318,198,351.11/477,748.94
  6. Step 6: Final answer
    x = 362,780.92

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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.