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Finding the Fourth Proportional to 469,636.96, 648,559.37 and 324,813.82

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Solution

The fourth proportional to 469,636.96, 648,559.37 and 324,813.82 is: 448,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,636.96 : 648,559.37 = 324,813.82 : x
  2. Step 2: Convert to fraction form
    469,636.96/648,559.37 = 324,813.82/x
  3. Step 3: Cross multiply
    469,636.96x = 648,559.37 × 324,813.82
  4. Step 4: Simplify right side
    469,636.96x = 210,661,046,466.49
  5. Step 5: Solve for x
    x = 210,661,046,466.49/469,636.96
  6. Step 6: Final answer
    x = 448,561.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.