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Finding the Fourth Proportional to 361,928.48, 499,461.87 and 200,783.52

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Solution

The fourth proportional to 361,928.48, 499,461.87 and 200,783.52 is: 277,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,928.48 : 499,461.87 = 200,783.52 : x
  2. Step 2: Convert to fraction form
    361,928.48/499,461.87 = 200,783.52/x
  3. Step 3: Cross multiply
    361,928.48x = 499,461.87 × 200,783.52
  4. Step 4: Simplify right side
    361,928.48x = 100,283,712,364.38
  5. Step 5: Solve for x
    x = 100,283,712,364.38/361,928.48
  6. Step 6: Final answer
    x = 277,081.58

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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.