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Finding the Fourth Proportional to 266,283.65, 399,433.68 and 116,446.82

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Solution

The fourth proportional to 266,283.65, 399,433.68 and 116,446.82 is: 174,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,283.65 : 399,433.68 = 116,446.82 : x
  2. Step 2: Convert to fraction form
    266,283.65/399,433.68 = 116,446.82/x
  3. Step 3: Cross multiply
    266,283.65x = 399,433.68 × 116,446.82
  4. Step 4: Simplify right side
    266,283.65x = 46,512,779,839.73
  5. Step 5: Solve for x
    x = 46,512,779,839.73/266,283.65
  6. Step 6: Final answer
    x = 174,673.81

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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.