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Finding the Fourth Proportional to 424,206.42, 585,408.22 and 230,614.10

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Solution

The fourth proportional to 424,206.42, 585,408.22 and 230,614.10 is: 318,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,206.42 : 585,408.22 = 230,614.10 : x
  2. Step 2: Convert to fraction form
    424,206.42/585,408.22 = 230,614.10/x
  3. Step 3: Cross multiply
    424,206.42x = 585,408.22 × 230,614.10
  4. Step 4: Simplify right side
    424,206.42x = 135,003,386,860.86
  5. Step 5: Solve for x
    x = 135,003,386,860.86/424,206.42
  6. Step 6: Final answer
    x = 318,249.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.