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Finding the Fourth Proportional to 456,367.72, 629,960.34 and 408,534.52

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Solution

The fourth proportional to 456,367.72, 629,960.34 and 408,534.52 is: 563,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,367.72 : 629,960.34 = 408,534.52 : x
  2. Step 2: Convert to fraction form
    456,367.72/629,960.34 = 408,534.52/x
  3. Step 3: Cross multiply
    456,367.72x = 629,960.34 × 408,534.52
  4. Step 4: Simplify right side
    456,367.72x = 257,360,545,120.94
  5. Step 5: Solve for x
    x = 257,360,545,120.94/456,367.72
  6. Step 6: Final answer
    x = 563,932.40

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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.