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Finding the Fourth Proportional to 465,561.60, 642,558.72 and 274,563.84

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Solution

The fourth proportional to 465,561.60, 642,558.72 and 274,563.84 is: 378,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,561.60 : 642,558.72 = 274,563.84 : x
  2. Step 2: Convert to fraction form
    465,561.60/642,558.72 = 274,563.84/x
  3. Step 3: Cross multiply
    465,561.60x = 642,558.72 × 274,563.84
  4. Step 4: Simplify right side
    465,561.60x = 176,423,389,588.69
  5. Step 5: Solve for x
    x = 176,423,389,588.69/465,561.60
  6. Step 6: Final answer
    x = 378,947.47

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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.