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Finding the Fourth Proportional to 361,881.04, 499,403.84 and 200,730.84

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Solution

The fourth proportional to 361,881.04, 499,403.84 and 200,730.84 is: 277,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,881.04 : 499,403.84 = 200,730.84 : x
  2. Step 2: Convert to fraction form
    361,881.04/499,403.84 = 200,730.84/x
  3. Step 3: Cross multiply
    361,881.04x = 499,403.84 × 200,730.84
  4. Step 4: Simplify right side
    361,881.04x = 100,245,752,302.43
  5. Step 5: Solve for x
    x = 100,245,752,302.43/361,881.04
  6. Step 6: Final answer
    x = 277,013.00

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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.