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Finding the Fourth Proportional to 455,522.10, 683,266.95 and 206,204.10

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Solution

The fourth proportional to 455,522.10, 683,266.95 and 206,204.10 is: 309,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,522.10 : 683,266.95 = 206,204.10 : x
  2. Step 2: Convert to fraction form
    455,522.10/683,266.95 = 206,204.10/x
  3. Step 3: Cross multiply
    455,522.10x = 683,266.95 × 206,204.10
  4. Step 4: Simplify right side
    455,522.10x = 140,892,446,484.50
  5. Step 5: Solve for x
    x = 140,892,446,484.50/455,522.10
  6. Step 6: Final answer
    x = 309,298.82

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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.