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Finding the Fourth Proportional to 301,041.28, 415,461.44 and 166,902.40

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Solution

The fourth proportional to 301,041.28, 415,461.44 and 166,902.40 is: 230,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,041.28 : 415,461.44 = 166,902.40 : x
  2. Step 2: Convert to fraction form
    301,041.28/415,461.44 = 166,902.40/x
  3. Step 3: Cross multiply
    301,041.28x = 415,461.44 × 166,902.40
  4. Step 4: Simplify right side
    301,041.28x = 69,341,511,443.46
  5. Step 5: Solve for x
    x = 69,341,511,443.46/301,041.28
  6. Step 6: Final answer
    x = 230,338.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.