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Finding the Fourth Proportional to 543,283.84, 749,738.24 and 301,571.20

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Solution

The fourth proportional to 543,283.84, 749,738.24 and 301,571.20 is: 416,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,283.84 : 749,738.24 = 301,571.20 : x
  2. Step 2: Convert to fraction form
    543,283.84/749,738.24 = 301,571.20/x
  3. Step 3: Cross multiply
    543,283.84x = 749,738.24 × 301,571.20
  4. Step 4: Simplify right side
    543,283.84x = 226,099,460,722.69
  5. Step 5: Solve for x
    x = 226,099,460,722.69/543,283.84
  6. Step 6: Final answer
    x = 416,171.89

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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.