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Finding the Fourth Proportional to 469,614.33, 647,172.86 and 460,976.90

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Solution

The fourth proportional to 469,614.33, 647,172.86 and 460,976.90 is: 635,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,614.33 : 647,172.86 = 460,976.90 : x
  2. Step 2: Convert to fraction form
    469,614.33/647,172.86 = 460,976.90/x
  3. Step 3: Cross multiply
    469,614.33x = 647,172.86 × 460,976.90
  4. Step 4: Simplify right side
    469,614.33x = 298,331,733,226.19
  5. Step 5: Solve for x
    x = 298,331,733,226.19/469,614.33
  6. Step 6: Final answer
    x = 635,269.65

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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.