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Finding the Fourth Proportional to 416,157.68, 574,296.92 and 234,907.76

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Solution

The fourth proportional to 416,157.68, 574,296.92 and 234,907.76 is: 324,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,157.68 : 574,296.92 = 234,907.76 : x
  2. Step 2: Convert to fraction form
    416,157.68/574,296.92 = 234,907.76/x
  3. Step 3: Cross multiply
    416,157.68x = 574,296.92 × 234,907.76
  4. Step 4: Simplify right side
    416,157.68x = 134,906,803,052.10
  5. Step 5: Solve for x
    x = 134,906,803,052.10/416,157.68
  6. Step 6: Final answer
    x = 324,172.33

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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.