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Finding the Fourth Proportional to 586,410.63, 809,241.19 and 331,761.81

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Solution

The fourth proportional to 586,410.63, 809,241.19 and 331,761.81 is: 457,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,410.63 : 809,241.19 = 331,761.81 : x
  2. Step 2: Convert to fraction form
    586,410.63/809,241.19 = 331,761.81/x
  3. Step 3: Cross multiply
    586,410.63x = 809,241.19 × 331,761.81
  4. Step 4: Simplify right side
    586,410.63x = 268,475,321,920.95
  5. Step 5: Solve for x
    x = 268,475,321,920.95/586,410.63
  6. Step 6: Final answer
    x = 457,828.20

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Why These Related Problems?

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