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Finding the Fourth Proportional to 405,920.90, 608,868.80 and 192,842.20

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Solution

The fourth proportional to 405,920.90, 608,868.80 and 192,842.20 is: 289,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.90 : 608,868.80 = 192,842.20 : x
  2. Step 2: Convert to fraction form
    405,920.90/608,868.80 = 192,842.20/x
  3. Step 3: Cross multiply
    405,920.90x = 608,868.80 × 192,842.20
  4. Step 4: Simplify right side
    405,920.90x = 117,415,598,903.36
  5. Step 5: Solve for x
    x = 117,415,598,903.36/405,920.90
  6. Step 6: Final answer
    x = 289,257.34

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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.