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Finding the Fourth Proportional to 302,701.47, 417,712.59 and 166,732.49

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Solution

The fourth proportional to 302,701.47, 417,712.59 and 166,732.49 is: 230,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,701.47 : 417,712.59 = 166,732.49 : x
  2. Step 2: Convert to fraction form
    302,701.47/417,712.59 = 166,732.49/x
  3. Step 3: Cross multiply
    302,701.47x = 417,712.59 × 166,732.49
  4. Step 4: Simplify right side
    302,701.47x = 69,646,258,146.49
  5. Step 5: Solve for x
    x = 69,646,258,146.49/302,701.47
  6. Step 6: Final answer
    x = 230,082.33

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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.