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Finding the Fourth Proportional to 455,431.40, 683,147.10 and 442,309.40

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Solution

The fourth proportional to 455,431.40, 683,147.10 and 442,309.40 is: 663,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,431.40 : 683,147.10 = 442,309.40 : x
  2. Step 2: Convert to fraction form
    455,431.40/683,147.10 = 442,309.40/x
  3. Step 3: Cross multiply
    455,431.40x = 683,147.10 × 442,309.40
  4. Step 4: Simplify right side
    455,431.40x = 302,162,383,912.74
  5. Step 5: Solve for x
    x = 302,162,383,912.74/455,431.40
  6. Step 6: Final answer
    x = 663,464.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.