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Finding the Fourth Proportional to 422,913.51, 634,487.36 and 195,278.60

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Solution

The fourth proportional to 422,913.51, 634,487.36 and 195,278.60 is: 292,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,913.51 : 634,487.36 = 195,278.60 : x
  2. Step 2: Convert to fraction form
    422,913.51/634,487.36 = 195,278.60/x
  3. Step 3: Cross multiply
    422,913.51x = 634,487.36 × 195,278.60
  4. Step 4: Simplify right side
    422,913.51x = 123,901,803,378.50
  5. Step 5: Solve for x
    x = 123,901,803,378.50/422,913.51
  6. Step 6: Final answer
    x = 292,971.97

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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.