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Finding the Fourth Proportional to 365,565.78, 504,527.67 and 204,429.78

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Solution

The fourth proportional to 365,565.78, 504,527.67 and 204,429.78 is: 282,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,565.78 : 504,527.67 = 204,429.78 : x
  2. Step 2: Convert to fraction form
    365,565.78/504,527.67 = 204,429.78/x
  3. Step 3: Cross multiply
    365,565.78x = 504,527.67 × 204,429.78
  4. Step 4: Simplify right side
    365,565.78x = 103,140,480,582.01
  5. Step 5: Solve for x
    x = 103,140,480,582.01/365,565.78
  6. Step 6: Final answer
    x = 282,139.32

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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.