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Finding the Fourth Proportional to 365,695.38, 504,656.01 and 204,548.58

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Solution

The fourth proportional to 365,695.38, 504,656.01 and 204,548.58 is: 282,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,695.38 : 504,656.01 = 204,548.58 : x
  2. Step 2: Convert to fraction form
    365,695.38/504,656.01 = 204,548.58/x
  3. Step 3: Cross multiply
    365,695.38x = 504,656.01 × 204,548.58
  4. Step 4: Simplify right side
    365,695.38x = 103,226,670,233.97
  5. Step 5: Solve for x
    x = 103,226,670,233.97/365,695.38
  6. Step 6: Final answer
    x = 282,275.02

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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.