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Finding the Fourth Proportional to 345,892, 477,330.96 and 186,916

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Solution

The fourth proportional to 345,892, 477,330.96 and 186,916 is: 257,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,892 : 477,330.96 = 186,916 : x
  2. Step 2: Convert to fraction form
    345,892/477,330.96 = 186,916/x
  3. Step 3: Cross multiply
    345,892x = 477,330.96 × 186,916
  4. Step 4: Simplify right side
    345,892x = 89,220,793,719.36
  5. Step 5: Solve for x
    x = 89,220,793,719.36/345,892
  6. Step 6: Final answer
    x = 257,944.08

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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.