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Finding the Fourth Proportional to 361,926.97, 499,459.80 and 200,782.01

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Solution

The fourth proportional to 361,926.97, 499,459.80 and 200,782.01 is: 277,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926.97 : 499,459.80 = 200,782.01 : x
  2. Step 2: Convert to fraction form
    361,926.97/499,459.80 = 200,782.01/x
  3. Step 3: Cross multiply
    361,926.97x = 499,459.80 × 200,782.01
  4. Step 4: Simplify right side
    361,926.97x = 100,282,543,430.38
  5. Step 5: Solve for x
    x = 100,282,543,430.38/361,926.97
  6. Step 6: Final answer
    x = 277,079.50

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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.