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Finding the Fourth Proportional to 417,733.96, 626,039.66 and 227,909.88

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Solution

The fourth proportional to 417,733.96, 626,039.66 and 227,909.88 is: 341,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,733.96 : 626,039.66 = 227,909.88 : x
  2. Step 2: Convert to fraction form
    417,733.96/626,039.66 = 227,909.88/x
  3. Step 3: Cross multiply
    417,733.96x = 626,039.66 × 227,909.88
  4. Step 4: Simplify right side
    417,733.96x = 142,680,623,785.84
  5. Step 5: Solve for x
    x = 142,680,623,785.84/417,733.96
  6. Step 6: Final answer
    x = 341,558.59

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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.