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Finding the Fourth Proportional to 365,808.42, 504,835.20 and 204,653.88

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Solution

The fourth proportional to 365,808.42, 504,835.20 and 204,653.88 is: 282,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,808.42 : 504,835.20 = 204,653.88 : x
  2. Step 2: Convert to fraction form
    365,808.42/504,835.20 = 204,653.88/x
  3. Step 3: Cross multiply
    365,808.42x = 504,835.20 × 204,653.88
  4. Step 4: Simplify right side
    365,808.42x = 103,316,482,440.58
  5. Step 5: Solve for x
    x = 103,316,482,440.58/365,808.42
  6. Step 6: Final answer
    x = 282,433.31

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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.