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Finding the Fourth Proportional to 456,597.12, 629,961.18 and 275,364.48

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Solution

The fourth proportional to 456,597.12, 629,961.18 and 275,364.48 is: 379,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,597.12 : 629,961.18 = 275,364.48 : x
  2. Step 2: Convert to fraction form
    456,597.12/629,961.18 = 275,364.48/x
  3. Step 3: Cross multiply
    456,597.12x = 629,961.18 × 275,364.48
  4. Step 4: Simplify right side
    456,597.12x = 173,468,932,750.89
  5. Step 5: Solve for x
    x = 173,468,932,750.89/456,597.12
  6. Step 6: Final answer
    x = 379,916.84

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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.