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Finding the Fourth Proportional to 456,461.37, 629,704.44 and 295,368.48

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Solution

The fourth proportional to 456,461.37, 629,704.44 and 295,368.48 is: 407,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,461.37 : 629,704.44 = 295,368.48 : x
  2. Step 2: Convert to fraction form
    456,461.37/629,704.44 = 295,368.48/x
  3. Step 3: Cross multiply
    456,461.37x = 629,704.44 × 295,368.48
  4. Step 4: Simplify right side
    456,461.37x = 185,994,843,292.05
  5. Step 5: Solve for x
    x = 185,994,843,292.05/456,461.37
  6. Step 6: Final answer
    x = 407,471.16

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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.