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Finding the Fourth Proportional to 356,805.50, 492,414.33 and 235,734.39

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Solution

The fourth proportional to 356,805.50, 492,414.33 and 235,734.39 is: 325,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,805.50 : 492,414.33 = 235,734.39 : x
  2. Step 2: Convert to fraction form
    356,805.50/492,414.33 = 235,734.39/x
  3. Step 3: Cross multiply
    356,805.50x = 492,414.33 × 235,734.39
  4. Step 4: Simplify right side
    356,805.50x = 116,078,991,709.81
  5. Step 5: Solve for x
    x = 116,078,991,709.81/356,805.50
  6. Step 6: Final answer
    x = 325,328.49

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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.