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Finding the Fourth Proportional to 503,734.09, 695,614.84 and 320,032.01

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Solution

The fourth proportional to 503,734.09, 695,614.84 and 320,032.01 is: 441,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,734.09 : 695,614.84 = 320,032.01 : x
  2. Step 2: Convert to fraction form
    503,734.09/695,614.84 = 320,032.01/x
  3. Step 3: Cross multiply
    503,734.09x = 695,614.84 × 320,032.01
  4. Step 4: Simplify right side
    503,734.09x = 222,619,016,369.99
  5. Step 5: Solve for x
    x = 222,619,016,369.99/503,734.09
  6. Step 6: Final answer
    x = 441,937.56

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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.