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Finding the Fourth Proportional to 316,423.38, 436,662.70 and 171,229.06

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Solution

The fourth proportional to 316,423.38, 436,662.70 and 171,229.06 is: 236,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,423.38 : 436,662.70 = 171,229.06 : x
  2. Step 2: Convert to fraction form
    316,423.38/436,662.70 = 171,229.06/x
  3. Step 3: Cross multiply
    316,423.38x = 436,662.70 × 171,229.06
  4. Step 4: Simplify right side
    316,423.38x = 74,769,341,319.59
  5. Step 5: Solve for x
    x = 74,769,341,319.59/316,423.38
  6. Step 6: Final answer
    x = 236,295.25

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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.