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Finding the Fourth Proportional to 424,738.16, 637,402.33 and 274,606.07

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Solution

The fourth proportional to 424,738.16, 637,402.33 and 274,606.07 is: 412,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,738.16 : 637,402.33 = 274,606.07 : x
  2. Step 2: Convert to fraction form
    424,738.16/637,402.33 = 274,606.07/x
  3. Step 3: Cross multiply
    424,738.16x = 637,402.33 × 274,606.07
  4. Step 4: Simplify right side
    424,738.16x = 175,034,548,850.14
  5. Step 5: Solve for x
    x = 175,034,548,850.14/424,738.16
  6. Step 6: Final answer
    x = 412,099.89

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Why These Related Problems?

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