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Finding the Fourth Proportional to 255,274.61, 352,375.35 and 200,684.35

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Solution

The fourth proportional to 255,274.61, 352,375.35 and 200,684.35 is: 277,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,274.61 : 352,375.35 = 200,684.35 : x
  2. Step 2: Convert to fraction form
    255,274.61/352,375.35 = 200,684.35/x
  3. Step 3: Cross multiply
    255,274.61x = 352,375.35 × 200,684.35
  4. Step 4: Simplify right side
    255,274.61x = 70,716,217,758.68
  5. Step 5: Solve for x
    x = 70,716,217,758.68/255,274.61
  6. Step 6: Final answer
    x = 277,020.18

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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.