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Finding the Fourth Proportional to 365,767.12, 504,734.88 and 204,594.58

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Solution

The fourth proportional to 365,767.12, 504,734.88 and 204,594.58 is: 282,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,767.12 : 504,734.88 = 204,594.58 : x
  2. Step 2: Convert to fraction form
    365,767.12/504,734.88 = 204,594.58/x
  3. Step 3: Cross multiply
    365,767.12x = 504,734.88 × 204,594.58
  4. Step 4: Simplify right side
    365,767.12x = 103,266,020,784.95
  5. Step 5: Solve for x
    x = 103,266,020,784.95/365,767.12
  6. Step 6: Final answer
    x = 282,327.24

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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.