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Finding the Fourth Proportional to 503,909.64, 695,383.76 and 274,460.52

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Solution

The fourth proportional to 503,909.64, 695,383.76 and 274,460.52 is: 378,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,909.64 : 695,383.76 = 274,460.52 : x
  2. Step 2: Convert to fraction form
    503,909.64/695,383.76 = 274,460.52/x
  3. Step 3: Cross multiply
    503,909.64x = 695,383.76 × 274,460.52
  4. Step 4: Simplify right side
    503,909.64x = 190,855,388,369.16
  5. Step 5: Solve for x
    x = 190,855,388,369.16/503,909.64
  6. Step 6: Final answer
    x = 378,749.23

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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.