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Finding the Fourth Proportional to 420,558.96, 580,362.84 and 229,571.76

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Solution

The fourth proportional to 420,558.96, 580,362.84 and 229,571.76 is: 316,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,558.96 : 580,362.84 = 229,571.76 : x
  2. Step 2: Convert to fraction form
    420,558.96/580,362.84 = 229,571.76/x
  3. Step 3: Cross multiply
    420,558.96x = 580,362.84 × 229,571.76
  4. Step 4: Simplify right side
    420,558.96x = 133,234,918,617.40
  5. Step 5: Solve for x
    x = 133,234,918,617.40/420,558.96
  6. Step 6: Final answer
    x = 316,804.38

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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.