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Finding the Fourth Proportional to 419,078.22, 628,602.21 and 182,421.06

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Solution

The fourth proportional to 419,078.22, 628,602.21 and 182,421.06 is: 273,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,078.22 : 628,602.21 = 182,421.06 : x
  2. Step 2: Convert to fraction form
    419,078.22/628,602.21 = 182,421.06/x
  3. Step 3: Cross multiply
    419,078.22x = 628,602.21 × 182,421.06
  4. Step 4: Simplify right side
    419,078.22x = 114,670,281,466.54
  5. Step 5: Solve for x
    x = 114,670,281,466.54/419,078.22
  6. Step 6: Final answer
    x = 273,625.01

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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.