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Finding the Fourth Proportional to 535,086, 738,418.68 and 308,731.50

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Solution

The fourth proportional to 535,086, 738,418.68 and 308,731.50 is: 426,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086 : 738,418.68 = 308,731.50 : x
  2. Step 2: Convert to fraction form
    535,086/738,418.68 = 308,731.50/x
  3. Step 3: Cross multiply
    535,086x = 738,418.68 × 308,731.50
  4. Step 4: Simplify right side
    535,086x = 227,973,106,704.42
  5. Step 5: Solve for x
    x = 227,973,106,704.42/535,086
  6. Step 6: Final answer
    x = 426,049.47

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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.