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Finding the Fourth Proportional to 302,853.50, 417,940.63 and 166,892.31

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Solution

The fourth proportional to 302,853.50, 417,940.63 and 166,892.31 is: 230,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853.50 : 417,940.63 = 166,892.31 : x
  2. Step 2: Convert to fraction form
    302,853.50/417,940.63 = 166,892.31/x
  3. Step 3: Cross multiply
    302,853.50x = 417,940.63 × 166,892.31
  4. Step 4: Simplify right side
    302,853.50x = 69,751,076,766.32
  5. Step 5: Solve for x
    x = 69,751,076,766.32/302,853.50
  6. Step 6: Final answer
    x = 230,312.93

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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.