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Finding the Fourth Proportional to 826,800, 1,140,914.16 and 500,234.68

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Solution

The fourth proportional to 826,800, 1,140,914.16 and 500,234.68 is: 690,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,800 : 1,140,914.16 = 500,234.68 : x
  2. Step 2: Convert to fraction form
    826,800/1,140,914.16 = 500,234.68/x
  3. Step 3: Cross multiply
    826,800x = 1,140,914.16 × 500,234.68
  4. Step 4: Simplify right side
    826,800x = 570,724,829,735.07
  5. Step 5: Solve for x
    x = 570,724,829,735.07/826,800
  6. Step 6: Final answer
    x = 690,281.60

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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.