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Finding the Fourth Proportional to 493,046.60, 738,533.10 and 410,102.60

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Solution

The fourth proportional to 493,046.60, 738,533.10 and 410,102.60 is: 614,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,046.60 : 738,533.10 = 410,102.60 : x
  2. Step 2: Convert to fraction form
    493,046.60/738,533.10 = 410,102.60/x
  3. Step 3: Cross multiply
    493,046.60x = 738,533.10 × 410,102.60
  4. Step 4: Simplify right side
    493,046.60x = 302,874,344,496.06
  5. Step 5: Solve for x
    x = 302,874,344,496.06/493,046.60
  6. Step 6: Final answer
    x = 614,291.52

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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.