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Finding the Fourth Proportional to 546,514.10, 820,385.55 and 422,405.30

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Solution

The fourth proportional to 546,514.10, 820,385.55 and 422,405.30 is: 634,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,514.10 : 820,385.55 = 422,405.30 : x
  2. Step 2: Convert to fraction form
    546,514.10/820,385.55 = 422,405.30/x
  3. Step 3: Cross multiply
    546,514.10x = 820,385.55 × 422,405.30
  4. Step 4: Simplify right side
    546,514.10x = 346,535,204,363.42
  5. Step 5: Solve for x
    x = 346,535,204,363.42/546,514.10
  6. Step 6: Final answer
    x = 634,082.82

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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.