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Finding the Fourth Proportional to 822,912.30, 1,234,368.45 and 682,944.30

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Solution

The fourth proportional to 822,912.30, 1,234,368.45 and 682,944.30 is: 1,024,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,912.30 : 1,234,368.45 = 682,944.30 : x
  2. Step 2: Convert to fraction form
    822,912.30/1,234,368.45 = 682,944.30/x
  3. Step 3: Cross multiply
    822,912.30x = 1,234,368.45 × 682,944.30
  4. Step 4: Simplify right side
    822,912.30x = 843,004,897,027.34
  5. Step 5: Solve for x
    x = 843,004,897,027.34/822,912.30
  6. Step 6: Final answer
    x = 1,024,416.45

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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.