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Finding the Fourth Proportional to 365,540.31, 504,465.30 and 204,394.86

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Solution

The fourth proportional to 365,540.31, 504,465.30 and 204,394.86 is: 282,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,540.31 : 504,465.30 = 204,394.86 : x
  2. Step 2: Convert to fraction form
    365,540.31/504,465.30 = 204,394.86/x
  3. Step 3: Cross multiply
    365,540.31x = 504,465.30 × 204,394.86
  4. Step 4: Simplify right side
    365,540.31x = 103,110,114,368.36
  5. Step 5: Solve for x
    x = 103,110,114,368.36/365,540.31
  6. Step 6: Final answer
    x = 282,075.91

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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.