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Finding the Fourth Proportional to 809,446.50, 1,214,228.61 and 310,810.50

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Solution

The fourth proportional to 809,446.50, 1,214,228.61 and 310,810.50 is: 466,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,446.50 : 1,214,228.61 = 310,810.50 : x
  2. Step 2: Convert to fraction form
    809,446.50/1,214,228.61 = 310,810.50/x
  3. Step 3: Cross multiply
    809,446.50x = 1,214,228.61 × 310,810.50
  4. Step 4: Simplify right side
    809,446.50x = 377,395,001,388.41
  5. Step 5: Solve for x
    x = 377,395,001,388.41/809,446.50
  6. Step 6: Final answer
    x = 466,238.35

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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.