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Finding the Fourth Proportional to 647,575.10, 971,362.65 and 204,343.10

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Solution

The fourth proportional to 647,575.10, 971,362.65 and 204,343.10 is: 306,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,575.10 : 971,362.65 = 204,343.10 : x
  2. Step 2: Convert to fraction form
    647,575.10/971,362.65 = 204,343.10/x
  3. Step 3: Cross multiply
    647,575.10x = 971,362.65 × 204,343.10
  4. Step 4: Simplify right side
    647,575.10x = 198,491,255,125.22
  5. Step 5: Solve for x
    x = 198,491,255,125.22/647,575.10
  6. Step 6: Final answer
    x = 306,514.65

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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.