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Finding the Fourth Proportional to 465,573.45, 642,443.49 and 261,591.96

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Solution

The fourth proportional to 465,573.45, 642,443.49 and 261,591.96 is: 360,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,573.45 : 642,443.49 = 261,591.96 : x
  2. Step 2: Convert to fraction form
    465,573.45/642,443.49 = 261,591.96/x
  3. Step 3: Cross multiply
    465,573.45x = 642,443.49 × 261,591.96
  4. Step 4: Simplify right side
    465,573.45x = 168,058,051,738.34
  5. Step 5: Solve for x
    x = 168,058,051,738.34/465,573.45
  6. Step 6: Final answer
    x = 360,970.01

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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.