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Finding the Fourth Proportional to 405,396, 559,481.04 and 226,582.56

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Solution

The fourth proportional to 405,396, 559,481.04 and 226,582.56 is: 312,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,396 : 559,481.04 = 226,582.56 : x
  2. Step 2: Convert to fraction form
    405,396/559,481.04 = 226,582.56/x
  3. Step 3: Cross multiply
    405,396x = 559,481.04 × 226,582.56
  4. Step 4: Simplify right side
    405,396x = 126,768,646,314.66
  5. Step 5: Solve for x
    x = 126,768,646,314.66/405,396
  6. Step 6: Final answer
    x = 312,703.25

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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.