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Finding the Fourth Proportional to 405,677.34, 608,814.98 and 192,445.92

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Solution

The fourth proportional to 405,677.34, 608,814.98 and 192,445.92 is: 288,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,677.34 : 608,814.98 = 192,445.92 : x
  2. Step 2: Convert to fraction form
    405,677.34/608,814.98 = 192,445.92/x
  3. Step 3: Cross multiply
    405,677.34x = 608,814.98 × 192,445.92
  4. Step 4: Simplify right side
    405,677.34x = 117,163,958,935.88
  5. Step 5: Solve for x
    x = 117,163,958,935.88/405,677.34
  6. Step 6: Final answer
    x = 288,810.71

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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.