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Finding the Fourth Proportional to 531,055.25, 796,583.64 and 405,408.89

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Solution

The fourth proportional to 531,055.25, 796,583.64 and 405,408.89 is: 608,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,055.25 : 796,583.64 = 405,408.89 : x
  2. Step 2: Convert to fraction form
    531,055.25/796,583.64 = 405,408.89/x
  3. Step 3: Cross multiply
    531,055.25x = 796,583.64 × 405,408.89
  4. Step 4: Simplify right side
    531,055.25x = 322,942,089,284.56
  5. Step 5: Solve for x
    x = 322,942,089,284.56/531,055.25
  6. Step 6: Final answer
    x = 608,113.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.