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Finding the Fourth Proportional to 405,709.94, 608,321.90 and 192,530.90

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Solution

The fourth proportional to 405,709.94, 608,321.90 and 192,530.90 is: 288,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,709.94 : 608,321.90 = 192,530.90 : x
  2. Step 2: Convert to fraction form
    405,709.94/608,321.90 = 192,530.90/x
  3. Step 3: Cross multiply
    405,709.94x = 608,321.90 × 192,530.90
  4. Step 4: Simplify right side
    405,709.94x = 117,120,762,896.71
  5. Step 5: Solve for x
    x = 117,120,762,896.71/405,709.94
  6. Step 6: Final answer
    x = 288,681.03

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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.