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Finding the Fourth Proportional to 407,430.37, 562,243.17 and 226,141.84

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Solution

The fourth proportional to 407,430.37, 562,243.17 and 226,141.84 is: 312,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,430.37 : 562,243.17 = 226,141.84 : x
  2. Step 2: Convert to fraction form
    407,430.37/562,243.17 = 226,141.84/x
  3. Step 3: Cross multiply
    407,430.37x = 562,243.17 × 226,141.84
  4. Step 4: Simplify right side
    407,430.37x = 127,146,704,991.23
  5. Step 5: Solve for x
    x = 127,146,704,991.23/407,430.37
  6. Step 6: Final answer
    x = 312,069.78

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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.