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Finding the Fourth Proportional to 531,054.25, 796,582.14 and 405,407.89

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Solution

The fourth proportional to 531,054.25, 796,582.14 and 405,407.89 is: 608,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,054.25 : 796,582.14 = 405,407.89 : x
  2. Step 2: Convert to fraction form
    531,054.25/796,582.14 = 405,407.89/x
  3. Step 3: Cross multiply
    531,054.25x = 796,582.14 × 405,407.89
  4. Step 4: Simplify right side
    531,054.25x = 322,940,684,589.09
  5. Step 5: Solve for x
    x = 322,940,684,589.09/531,054.25
  6. Step 6: Final answer
    x = 608,112.42

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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.