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Finding the Fourth Proportional to 492,938.82, 680,287.07 and 278,000.46

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Solution

The fourth proportional to 492,938.82, 680,287.07 and 278,000.46 is: 383,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,938.82 : 680,287.07 = 278,000.46 : x
  2. Step 2: Convert to fraction form
    492,938.82/680,287.07 = 278,000.46/x
  3. Step 3: Cross multiply
    492,938.82x = 680,287.07 × 278,000.46
  4. Step 4: Simplify right side
    492,938.82x = 189,120,119,087.05
  5. Step 5: Solve for x
    x = 189,120,119,087.05/492,938.82
  6. Step 6: Final answer
    x = 383,658.40

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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.