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Finding the Fourth Proportional to 406,989.75, 561,645.86 and 228,141.75

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Solution

The fourth proportional to 406,989.75, 561,645.86 and 228,141.75 is: 314,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989.75 : 561,645.86 = 228,141.75 : x
  2. Step 2: Convert to fraction form
    406,989.75/561,645.86 = 228,141.75/x
  3. Step 3: Cross multiply
    406,989.75x = 561,645.86 × 228,141.75
  4. Step 4: Simplify right side
    406,989.75x = 128,134,869,380.66
  5. Step 5: Solve for x
    x = 128,134,869,380.66/406,989.75
  6. Step 6: Final answer
    x = 314,835.62

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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.