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Finding the Fourth Proportional to 302,499.31, 417,442.49 and 166,528.05

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Solution

The fourth proportional to 302,499.31, 417,442.49 and 166,528.05 is: 229,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,499.31 : 417,442.49 = 166,528.05 : x
  2. Step 2: Convert to fraction form
    302,499.31/417,442.49 = 166,528.05/x
  3. Step 3: Cross multiply
    302,499.31x = 417,442.49 × 166,528.05
  4. Step 4: Simplify right side
    302,499.31x = 69,515,883,953.03
  5. Step 5: Solve for x
    x = 69,515,883,953.03/302,499.31
  6. Step 6: Final answer
    x = 229,805.10

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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.