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Finding the Fourth Proportional to 496,522.84, 683,896.29 and 381,581.54

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Solution

The fourth proportional to 496,522.84, 683,896.29 and 381,581.54 is: 525,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,522.84 : 683,896.29 = 381,581.54 : x
  2. Step 2: Convert to fraction form
    496,522.84/683,896.29 = 381,581.54/x
  3. Step 3: Cross multiply
    496,522.84x = 683,896.29 × 381,581.54
  4. Step 4: Simplify right side
    496,522.84x = 260,962,199,538.49
  5. Step 5: Solve for x
    x = 260,962,199,538.49/496,522.84
  6. Step 6: Final answer
    x = 525,579.45

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Why These Related Problems?

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