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Finding the Fourth Proportional to 405,200.96, 559,220.65 and 233,126.44

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Solution

The fourth proportional to 405,200.96, 559,220.65 and 233,126.44 is: 321,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,200.96 : 559,220.65 = 233,126.44 : x
  2. Step 2: Convert to fraction form
    405,200.96/559,220.65 = 233,126.44/x
  3. Step 3: Cross multiply
    405,200.96x = 559,220.65 × 233,126.44
  4. Step 4: Simplify right side
    405,200.96x = 130,369,117,328.12
  5. Step 5: Solve for x
    x = 130,369,117,328.12/405,200.96
  6. Step 6: Final answer
    x = 321,739.41

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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.