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Finding the Fourth Proportional to 405,774.56, 559,994.82 and 226,926.56

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Solution

The fourth proportional to 405,774.56, 559,994.82 and 226,926.56 is: 313,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,774.56 : 559,994.82 = 226,926.56 : x
  2. Step 2: Convert to fraction form
    405,774.56/559,994.82 = 226,926.56/x
  3. Step 3: Cross multiply
    405,774.56x = 559,994.82 × 226,926.56
  4. Step 4: Simplify right side
    405,774.56x = 127,077,698,669.43
  5. Step 5: Solve for x
    x = 127,077,698,669.43/405,774.56
  6. Step 6: Final answer
    x = 313,173.15

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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.