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Finding the Fourth Proportional to 365,723.06, 504,695.49 and 204,577.34

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Solution

The fourth proportional to 365,723.06, 504,695.49 and 204,577.34 is: 282,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,723.06 : 504,695.49 = 204,577.34 : x
  2. Step 2: Convert to fraction form
    365,723.06/504,695.49 = 204,577.34/x
  3. Step 3: Cross multiply
    365,723.06x = 504,695.49 × 204,577.34
  4. Step 4: Simplify right side
    365,723.06x = 103,249,260,854.20
  5. Step 5: Solve for x
    x = 103,249,260,854.20/365,723.06
  6. Step 6: Final answer
    x = 282,315.42

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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.