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Finding the Fourth Proportional to 418,395.50, 577,389.60 and 227,409.34

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Solution

The fourth proportional to 418,395.50, 577,389.60 and 227,409.34 is: 313,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,395.50 : 577,389.60 = 227,409.34 : x
  2. Step 2: Convert to fraction form
    418,395.50/577,389.60 = 227,409.34/x
  3. Step 3: Cross multiply
    418,395.50x = 577,389.60 × 227,409.34
  4. Step 4: Simplify right side
    418,395.50x = 131,303,787,858.86
  5. Step 5: Solve for x
    x = 131,303,787,858.86/418,395.50
  6. Step 6: Final answer
    x = 313,826.96

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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.