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Finding the Fourth Proportional to 493,034.60, 738,515.10 and 410,090.60

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Solution

The fourth proportional to 493,034.60, 738,515.10 and 410,090.60 is: 614,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,034.60 : 738,515.10 = 410,090.60 : x
  2. Step 2: Convert to fraction form
    493,034.60/738,515.10 = 410,090.60/x
  3. Step 3: Cross multiply
    493,034.60x = 738,515.10 × 410,090.60
  4. Step 4: Simplify right side
    493,034.60x = 302,858,100,468.06
  5. Step 5: Solve for x
    x = 302,858,100,468.06/493,034.60
  6. Step 6: Final answer
    x = 614,273.52

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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.