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Finding the Fourth Proportional to 503,924.48, 695,416.73 and 274,481.06

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Solution

The fourth proportional to 503,924.48, 695,416.73 and 274,481.06 is: 378,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,924.48 : 695,416.73 = 274,481.06 : x
  2. Step 2: Convert to fraction form
    503,924.48/695,416.73 = 274,481.06/x
  3. Step 3: Cross multiply
    503,924.48x = 695,416.73 × 274,481.06
  4. Step 4: Simplify right side
    503,924.48x = 190,878,716,342.65
  5. Step 5: Solve for x
    x = 190,878,716,342.65/503,924.48
  6. Step 6: Final answer
    x = 378,784.37

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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.