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Finding the Fourth Proportional to 471,514.61, 650,704.49 and 333,940

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Solution

The fourth proportional to 471,514.61, 650,704.49 and 333,940 is: 460,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,514.61 : 650,704.49 = 333,940 : x
  2. Step 2: Convert to fraction form
    471,514.61/650,704.49 = 333,940/x
  3. Step 3: Cross multiply
    471,514.61x = 650,704.49 × 333,940
  4. Step 4: Simplify right side
    471,514.61x = 217,296,257,390.60
  5. Step 5: Solve for x
    x = 217,296,257,390.60/471,514.61
  6. Step 6: Final answer
    x = 460,847.35

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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.