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Finding the Fourth Proportional to 302,853.68, 417,940.88 and 166,892.49

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Solution

The fourth proportional to 302,853.68, 417,940.88 and 166,892.49 is: 230,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853.68 : 417,940.88 = 166,892.49 : x
  2. Step 2: Convert to fraction form
    302,853.68/417,940.88 = 166,892.49/x
  3. Step 3: Cross multiply
    302,853.68x = 417,940.88 × 166,892.49
  4. Step 4: Simplify right side
    302,853.68x = 69,751,194,135.99
  5. Step 5: Solve for x
    x = 69,751,194,135.99/302,853.68
  6. Step 6: Final answer
    x = 230,313.18

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1.5x scale

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.