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Finding the Fourth Proportional to 405,067.98, 559,026.54 and 223,795.80

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Solution

The fourth proportional to 405,067.98, 559,026.54 and 223,795.80 is: 308,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,067.98 : 559,026.54 = 223,795.80 : x
  2. Step 2: Convert to fraction form
    405,067.98/559,026.54 = 223,795.80/x
  3. Step 3: Cross multiply
    405,067.98x = 559,026.54 × 223,795.80
  4. Step 4: Simplify right side
    405,067.98x = 125,107,791,740.53
  5. Step 5: Solve for x
    x = 125,107,791,740.53/405,067.98
  6. Step 6: Final answer
    x = 308,856.29

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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.