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Finding the Fourth Proportional to 374,782.56, 517,199.76 and 205,016.64

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Solution

The fourth proportional to 374,782.56, 517,199.76 and 205,016.64 is: 282,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,782.56 : 517,199.76 = 205,016.64 : x
  2. Step 2: Convert to fraction form
    374,782.56/517,199.76 = 205,016.64/x
  3. Step 3: Cross multiply
    374,782.56x = 517,199.76 × 205,016.64
  4. Step 4: Simplify right side
    374,782.56x = 106,034,557,004.01
  5. Step 5: Solve for x
    x = 106,034,557,004.01/374,782.56
  6. Step 6: Final answer
    x = 282,922.87

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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.