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Finding the Fourth Proportional to 508,785.27, 763,184.82 and 188,813.50

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Solution

The fourth proportional to 508,785.27, 763,184.82 and 188,813.50 is: 283,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,785.27 : 763,184.82 = 188,813.50 : x
  2. Step 2: Convert to fraction form
    508,785.27/763,184.82 = 188,813.50/x
  3. Step 3: Cross multiply
    508,785.27x = 763,184.82 × 188,813.50
  4. Step 4: Simplify right side
    508,785.27x = 144,099,597,011.07
  5. Step 5: Solve for x
    x = 144,099,597,011.07/508,785.27
  6. Step 6: Final answer
    x = 283,222.82

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