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Finding the Fourth Proportional to 504,538.57, 695,697.61 and 412,371.81

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Solution

The fourth proportional to 504,538.57, 695,697.61 and 412,371.81 is: 568,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,538.57 : 695,697.61 = 412,371.81 : x
  2. Step 2: Convert to fraction form
    504,538.57/695,697.61 = 412,371.81/x
  3. Step 3: Cross multiply
    504,538.57x = 695,697.61 × 412,371.81
  4. Step 4: Simplify right side
    504,538.57x = 286,886,082,648.37
  5. Step 5: Solve for x
    x = 286,886,082,648.37/504,538.57
  6. Step 6: Final answer
    x = 568,610.81

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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.