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Finding the Fourth Proportional to 431,408.10, 595,349.01 and 240,414.96

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Solution

The fourth proportional to 431,408.10, 595,349.01 and 240,414.96 is: 331,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,408.10 : 595,349.01 = 240,414.96 : x
  2. Step 2: Convert to fraction form
    431,408.10/595,349.01 = 240,414.96/x
  3. Step 3: Cross multiply
    431,408.10x = 595,349.01 × 240,414.96
  4. Step 4: Simplify right side
    431,408.10x = 143,130,808,425.19
  5. Step 5: Solve for x
    x = 143,130,808,425.19/431,408.10
  6. Step 6: Final answer
    x = 331,775.89

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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.