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Finding the Fourth Proportional to 658,620.80, 989,097.60 and 509,224.40

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Solution

The fourth proportional to 658,620.80, 989,097.60 and 509,224.40 is: 764,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,620.80 : 989,097.60 = 509,224.40 : x
  2. Step 2: Convert to fraction form
    658,620.80/989,097.60 = 509,224.40/x
  3. Step 3: Cross multiply
    658,620.80x = 989,097.60 × 509,224.40
  4. Step 4: Simplify right side
    658,620.80x = 503,672,631,901.44
  5. Step 5: Solve for x
    x = 503,672,631,901.44/658,620.80
  6. Step 6: Final answer
    x = 764,738.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.