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Finding the Fourth Proportional to 382,169.22, 526,188.87 and 346,739.82

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Solution

The fourth proportional to 382,169.22, 526,188.87 and 346,739.82 is: 477,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,169.22 : 526,188.87 = 346,739.82 : x
  2. Step 2: Convert to fraction form
    382,169.22/526,188.87 = 346,739.82/x
  3. Step 3: Cross multiply
    382,169.22x = 526,188.87 × 346,739.82
  4. Step 4: Simplify right side
    382,169.22x = 182,450,634,069.80
  5. Step 5: Solve for x
    x = 182,450,634,069.80/382,169.22
  6. Step 6: Final answer
    x = 477,407.98

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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.