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Finding the Fourth Proportional to 411,549.04, 620,408.19 and 384,115.86

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Solution

The fourth proportional to 411,549.04, 620,408.19 and 384,115.86 is: 579,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,549.04 : 620,408.19 = 384,115.86 : x
  2. Step 2: Convert to fraction form
    411,549.04/620,408.19 = 384,115.86/x
  3. Step 3: Cross multiply
    411,549.04x = 620,408.19 × 384,115.86
  4. Step 4: Simplify right side
    411,549.04x = 238,308,625,452.89
  5. Step 5: Solve for x
    x = 238,308,625,452.89/411,549.04
  6. Step 6: Final answer
    x = 579,052.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.