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Finding the Fourth Proportional to 531,053.25, 796,580.64 and 405,406.89

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Solution

The fourth proportional to 531,053.25, 796,580.64 and 405,406.89 is: 608,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,053.25 : 796,580.64 = 405,406.89 : x
  2. Step 2: Convert to fraction form
    531,053.25/796,580.64 = 405,406.89/x
  3. Step 3: Cross multiply
    531,053.25x = 796,580.64 × 405,406.89
  4. Step 4: Simplify right side
    531,053.25x = 322,939,279,896.61
  5. Step 5: Solve for x
    x = 322,939,279,896.61/531,053.25
  6. Step 6: Final answer
    x = 608,110.92

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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.