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Finding the Fourth Proportional to 533,123.74, 799,907.75 and 233,819.24

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Solution

The fourth proportional to 533,123.74, 799,907.75 and 233,819.24 is: 350,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,123.74 : 799,907.75 = 233,819.24 : x
  2. Step 2: Convert to fraction form
    533,123.74/799,907.75 = 233,819.24/x
  3. Step 3: Cross multiply
    533,123.74x = 799,907.75 × 233,819.24
  4. Step 4: Simplify right side
    533,123.74x = 187,033,821,006.01
  5. Step 5: Solve for x
    x = 187,033,821,006.01/533,123.74
  6. Step 6: Final answer
    x = 350,826.29

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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.