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Finding the Fourth Proportional to 472,466.88, 708,675.84 and 259,643.52

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Solution

The fourth proportional to 472,466.88, 708,675.84 and 259,643.52 is: 389,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,466.88 : 708,675.84 = 259,643.52 : x
  2. Step 2: Convert to fraction form
    472,466.88/708,675.84 = 259,643.52/x
  3. Step 3: Cross multiply
    472,466.88x = 708,675.84 × 259,643.52
  4. Step 4: Simplify right side
    472,466.88x = 184,003,089,636.56
  5. Step 5: Solve for x
    x = 184,003,089,636.56/472,466.88
  6. Step 6: Final answer
    x = 389,451.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.