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Finding the Fourth Proportional to 456,146.93, 629,457.32 and 252,185.96

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Solution

The fourth proportional to 456,146.93, 629,457.32 and 252,185.96 is: 348,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,146.93 : 629,457.32 = 252,185.96 : x
  2. Step 2: Convert to fraction form
    456,146.93/629,457.32 = 252,185.96/x
  3. Step 3: Cross multiply
    456,146.93x = 629,457.32 × 252,185.96
  4. Step 4: Simplify right side
    456,146.93x = 158,740,294,115.01
  5. Step 5: Solve for x
    x = 158,740,294,115.01/456,146.93
  6. Step 6: Final answer
    x = 348,002.55

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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.