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Finding the Fourth Proportional to 510,516, 764,436.24 and 359,941.32

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Solution

The fourth proportional to 510,516, 764,436.24 and 359,941.32 is: 538,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,516 : 764,436.24 = 359,941.32 : x
  2. Step 2: Convert to fraction form
    510,516/764,436.24 = 359,941.32/x
  3. Step 3: Cross multiply
    510,516x = 764,436.24 × 359,941.32
  4. Step 4: Simplify right side
    510,516x = 275,152,189,281.44
  5. Step 5: Solve for x
    x = 275,152,189,281.44/510,516
  6. Step 6: Final answer
    x = 538,968.79

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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.