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Finding the Fourth Proportional to 366,071.34, 505,174.56 and 204,927.72

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Solution

The fourth proportional to 366,071.34, 505,174.56 and 204,927.72 is: 282,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,071.34 : 505,174.56 = 204,927.72 : x
  2. Step 2: Convert to fraction form
    366,071.34/505,174.56 = 204,927.72/x
  3. Step 3: Cross multiply
    366,071.34x = 505,174.56 × 204,927.72
  4. Step 4: Simplify right side
    366,071.34x = 103,524,270,782.80
  5. Step 5: Solve for x
    x = 103,524,270,782.80/366,071.34
  6. Step 6: Final answer
    x = 282,798.08

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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.