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Finding the Fourth Proportional to 321,722.69, 482,571.91 and 97,077.15

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Solution

The fourth proportional to 321,722.69, 482,571.91 and 97,077.15 is: 145,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,722.69 : 482,571.91 = 97,077.15 : x
  2. Step 2: Convert to fraction form
    321,722.69/482,571.91 = 97,077.15/x
  3. Step 3: Cross multiply
    321,722.69x = 482,571.91 × 97,077.15
  4. Step 4: Simplify right side
    321,722.69x = 46,846,705,692.86
  5. Step 5: Solve for x
    x = 46,846,705,692.86/321,722.69
  6. Step 6: Final answer
    x = 145,612.07

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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.