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Finding the Fourth Proportional to 285,434.50, 427,473.78 and 185,284.48

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Solution

The fourth proportional to 285,434.50, 427,473.78 and 185,284.48 is: 277,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,434.50 : 427,473.78 = 185,284.48 : x
  2. Step 2: Convert to fraction form
    285,434.50/427,473.78 = 185,284.48/x
  3. Step 3: Cross multiply
    285,434.50x = 427,473.78 × 185,284.48
  4. Step 4: Simplify right side
    285,434.50x = 79,204,257,040.93
  5. Step 5: Solve for x
    x = 79,204,257,040.93/285,434.50
  6. Step 6: Final answer
    x = 277,486.63

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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.