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Finding the Fourth Proportional to 354,538, 531,811.63 and 117,880.68

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Solution

The fourth proportional to 354,538, 531,811.63 and 117,880.68 is: 176,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538 : 531,811.63 = 117,880.68 : x
  2. Step 2: Convert to fraction form
    354,538/531,811.63 = 117,880.68/x
  3. Step 3: Cross multiply
    354,538x = 531,811.63 × 117,880.68
  4. Step 4: Simplify right side
    354,538x = 62,690,316,576.31
  5. Step 5: Solve for x
    x = 62,690,316,576.31/354,538
  6. Step 6: Final answer
    x = 176,822.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.