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Finding the Fourth Proportional to 477,870.75, 659,453.72 and 263,006.51

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Solution

The fourth proportional to 477,870.75, 659,453.72 and 263,006.51 is: 362,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,870.75 : 659,453.72 = 263,006.51 : x
  2. Step 2: Convert to fraction form
    477,870.75/659,453.72 = 263,006.51/x
  3. Step 3: Cross multiply
    477,870.75x = 659,453.72 × 263,006.51
  4. Step 4: Simplify right side
    477,870.75x = 173,440,616,791.42
  5. Step 5: Solve for x
    x = 173,440,616,791.42/477,870.75
  6. Step 6: Final answer
    x = 362,944.62

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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.