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Finding the Fourth Proportional to 469,392.23, 647,761.65 and 254,532.30

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Solution

The fourth proportional to 469,392.23, 647,761.65 and 254,532.30 is: 351,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,392.23 : 647,761.65 = 254,532.30 : x
  2. Step 2: Convert to fraction form
    469,392.23/647,761.65 = 254,532.30/x
  3. Step 3: Cross multiply
    469,392.23x = 647,761.65 × 254,532.30
  4. Step 4: Simplify right side
    469,392.23x = 164,876,259,242.69
  5. Step 5: Solve for x
    x = 164,876,259,242.69/469,392.23
  6. Step 6: Final answer
    x = 351,254.77

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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.