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Finding the Fourth Proportional to 539,913.60, 809,409.60 and 381,644.16

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Solution

The fourth proportional to 539,913.60, 809,409.60 and 381,644.16 is: 572,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,913.60 : 809,409.60 = 381,644.16 : x
  2. Step 2: Convert to fraction form
    539,913.60/809,409.60 = 381,644.16/x
  3. Step 3: Cross multiply
    539,913.60x = 809,409.60 × 381,644.16
  4. Step 4: Simplify right side
    539,913.60x = 308,906,446,887.94
  5. Step 5: Solve for x
    x = 308,906,446,887.94/539,913.60
  6. Step 6: Final answer
    x = 572,140.52

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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.