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Finding the Fourth Proportional to 365,788.40, 504,807.60 and 204,633.83

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Solution

The fourth proportional to 365,788.40, 504,807.60 and 204,633.83 is: 282,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,788.40 : 504,807.60 = 204,633.83 : x
  2. Step 2: Convert to fraction form
    365,788.40/504,807.60 = 204,633.83/x
  3. Step 3: Cross multiply
    365,788.40x = 504,807.60 × 204,633.83
  4. Step 4: Simplify right side
    365,788.40x = 103,300,713,095.75
  5. Step 5: Solve for x
    x = 103,300,713,095.75/365,788.40
  6. Step 6: Final answer
    x = 282,405.66

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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.