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Finding the Fourth Proportional to 456,131.88, 629,051.70 and 294,817.32

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Solution

The fourth proportional to 456,131.88, 629,051.70 and 294,817.32 is: 406,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,131.88 : 629,051.70 = 294,817.32 : x
  2. Step 2: Convert to fraction form
    456,131.88/629,051.70 = 294,817.32/x
  3. Step 3: Cross multiply
    456,131.88x = 629,051.70 × 294,817.32
  4. Step 4: Simplify right side
    456,131.88x = 185,455,336,335.44
  5. Step 5: Solve for x
    x = 185,455,336,335.44/456,131.88
  6. Step 6: Final answer
    x = 406,582.71

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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.