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Finding the Fourth Proportional to 449,284.64, 620,150.10 and 277,255.24

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Solution

The fourth proportional to 449,284.64, 620,150.10 and 277,255.24 is: 382,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,284.64 : 620,150.10 = 277,255.24 : x
  2. Step 2: Convert to fraction form
    449,284.64/620,150.10 = 277,255.24/x
  3. Step 3: Cross multiply
    449,284.64x = 620,150.10 × 277,255.24
  4. Step 4: Simplify right side
    449,284.64x = 171,939,864,811.52
  5. Step 5: Solve for x
    x = 171,939,864,811.52/449,284.64
  6. Step 6: Final answer
    x = 382,696.96

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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.