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Finding the Fourth Proportional to 420,454.32, 580,025.14 and 275,196.16

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Solution

The fourth proportional to 420,454.32, 580,025.14 and 275,196.16 is: 379,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,454.32 : 580,025.14 = 275,196.16 : x
  2. Step 2: Convert to fraction form
    420,454.32/580,025.14 = 275,196.16/x
  3. Step 3: Cross multiply
    420,454.32x = 580,025.14 × 275,196.16
  4. Step 4: Simplify right side
    420,454.32x = 159,620,689,553.84
  5. Step 5: Solve for x
    x = 159,620,689,553.84/420,454.32
  6. Step 6: Final answer
    x = 379,638.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.