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Finding the Fourth Proportional to 493,296.60, 738,908.10 and 410,352.60

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Solution

The fourth proportional to 493,296.60, 738,908.10 and 410,352.60 is: 614,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,296.60 : 738,908.10 = 410,352.60 : x
  2. Step 2: Convert to fraction form
    493,296.60/738,908.10 = 410,352.60/x
  3. Step 3: Cross multiply
    493,296.60x = 738,908.10 × 410,352.60
  4. Step 4: Simplify right side
    493,296.60x = 303,212,859,996.06
  5. Step 5: Solve for x
    x = 303,212,859,996.06/493,296.60
  6. Step 6: Final answer
    x = 614,666.43

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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.