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Finding the Fourth Proportional to 405,709.65, 608,386.94 and 192,538.67

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Solution

The fourth proportional to 405,709.65, 608,386.94 and 192,538.67 is: 288,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,709.65 : 608,386.94 = 192,538.67 : x
  2. Step 2: Convert to fraction form
    405,709.65/608,386.94 = 192,538.67/x
  3. Step 3: Cross multiply
    405,709.65x = 608,386.94 × 192,538.67
  4. Step 4: Simplify right side
    405,709.65x = 117,138,008,268.34
  5. Step 5: Solve for x
    x = 117,138,008,268.34/405,709.65
  6. Step 6: Final answer
    x = 288,723.74

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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.