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Finding the Fourth Proportional to 422,916.77, 634,492.31 and 195,281.97

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Solution

The fourth proportional to 422,916.77, 634,492.31 and 195,281.97 is: 292,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,916.77 : 634,492.31 = 195,281.97 : x
  2. Step 2: Convert to fraction form
    422,916.77/634,492.31 = 195,281.97/x
  3. Step 3: Cross multiply
    422,916.77x = 634,492.31 × 195,281.97
  4. Step 4: Simplify right side
    422,916.77x = 123,904,904,890.90
  5. Step 5: Solve for x
    x = 123,904,904,890.90/422,916.77
  6. Step 6: Final answer
    x = 292,977.04

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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.