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Finding the Fourth Proportional to 302,904.82, 418,007.28 and 166,938.47

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Solution

The fourth proportional to 302,904.82, 418,007.28 and 166,938.47 is: 230,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,904.82 : 418,007.28 = 166,938.47 : x
  2. Step 2: Convert to fraction form
    302,904.82/418,007.28 = 166,938.47/x
  3. Step 3: Cross multiply
    302,904.82x = 418,007.28 × 166,938.47
  4. Step 4: Simplify right side
    302,904.82x = 69,781,495,772.06
  5. Step 5: Solve for x
    x = 69,781,495,772.06/302,904.82
  6. Step 6: Final answer
    x = 230,374.33

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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.