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Finding the Fourth Proportional to 395,733, 592,614.77 and 276,847.68

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Solution

The fourth proportional to 395,733, 592,614.77 and 276,847.68 is: 414,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,733 : 592,614.77 = 276,847.68 : x
  2. Step 2: Convert to fraction form
    395,733/592,614.77 = 276,847.68/x
  3. Step 3: Cross multiply
    395,733x = 592,614.77 × 276,847.68
  4. Step 4: Simplify right side
    395,733x = 164,064,022,824.00
  5. Step 5: Solve for x
    x = 164,064,022,824.00/395,733
  6. Step 6: Final answer
    x = 414,582.62

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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.