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Finding the Fourth Proportional to 477,603.74, 659,067.14 and 262,709.12

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Solution

The fourth proportional to 477,603.74, 659,067.14 and 262,709.12 is: 362,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,603.74 : 659,067.14 = 262,709.12 : x
  2. Step 2: Convert to fraction form
    477,603.74/659,067.14 = 262,709.12/x
  3. Step 3: Cross multiply
    477,603.74x = 659,067.14 × 262,709.12
  4. Step 4: Simplify right side
    477,603.74x = 173,142,948,370.32
  5. Step 5: Solve for x
    x = 173,142,948,370.32/477,603.74
  6. Step 6: Final answer
    x = 362,524.27

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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.