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Finding the Fourth Proportional to 415,645.38, 573,623.09 and 231,941.70

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Solution

The fourth proportional to 415,645.38, 573,623.09 and 231,941.70 is: 320,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,645.38 : 573,623.09 = 231,941.70 : x
  2. Step 2: Convert to fraction form
    415,645.38/573,623.09 = 231,941.70/x
  3. Step 3: Cross multiply
    415,645.38x = 573,623.09 × 231,941.70
  4. Step 4: Simplify right side
    415,645.38x = 133,047,114,653.85
  5. Step 5: Solve for x
    x = 133,047,114,653.85/415,645.38
  6. Step 6: Final answer
    x = 320,097.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.