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Finding the Fourth Proportional to 405,576.11, 608,437.40 and 135,678.67

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Solution

The fourth proportional to 405,576.11, 608,437.40 and 135,678.67 is: 203,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,576.11 : 608,437.40 = 135,678.67 : x
  2. Step 2: Convert to fraction form
    405,576.11/608,437.40 = 135,678.67/x
  3. Step 3: Cross multiply
    405,576.11x = 608,437.40 × 135,678.67
  4. Step 4: Simplify right side
    405,576.11x = 82,551,975,141.94
  5. Step 5: Solve for x
    x = 82,551,975,141.94/405,576.11
  6. Step 6: Final answer
    x = 203,542.50

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Why These Related Problems?

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