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Finding the Fourth Proportional to 405,104.20, 559,049.64 and 223,820.32

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Solution

The fourth proportional to 405,104.20, 559,049.64 and 223,820.32 is: 308,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,104.20 : 559,049.64 = 223,820.32 : x
  2. Step 2: Convert to fraction form
    405,104.20/559,049.64 = 223,820.32/x
  3. Step 3: Cross multiply
    405,104.20x = 559,049.64 × 223,820.32
  4. Step 4: Simplify right side
    405,104.20x = 125,126,669,320.69
  5. Step 5: Solve for x
    x = 125,126,669,320.69/405,104.20
  6. Step 6: Final answer
    x = 308,875.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.