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Finding the Fourth Proportional to 504,534.83, 756,785.84 and 204,926.76

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Solution

The fourth proportional to 504,534.83, 756,785.84 and 204,926.76 is: 307,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,534.83 : 756,785.84 = 204,926.76 : x
  2. Step 2: Convert to fraction form
    504,534.83/756,785.84 = 204,926.76/x
  3. Step 3: Cross multiply
    504,534.83x = 756,785.84 × 204,926.76
  4. Step 4: Simplify right side
    504,534.83x = 155,085,669,180.45
  5. Step 5: Solve for x
    x = 155,085,669,180.45/504,534.83
  6. Step 6: Final answer
    x = 307,383.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.