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Finding the Fourth Proportional to 405,674.33, 608,810.48 and 192,442.91

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Solution

The fourth proportional to 405,674.33, 608,810.48 and 192,442.91 is: 288,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,674.33 : 608,810.48 = 192,442.91 : x
  2. Step 2: Convert to fraction form
    405,674.33/608,810.48 = 192,442.91/x
  3. Step 3: Cross multiply
    405,674.33x = 608,810.48 × 192,442.91
  4. Step 4: Simplify right side
    405,674.33x = 117,161,259,447.48
  5. Step 5: Solve for x
    x = 117,161,259,447.48/405,674.33
  6. Step 6: Final answer
    x = 288,806.19

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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.