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Finding the Fourth Proportional to 302,864.94, 417,956.38 and 166,903.77

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Solution

The fourth proportional to 302,864.94, 417,956.38 and 166,903.77 is: 230,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,864.94 : 417,956.38 = 166,903.77 : x
  2. Step 2: Convert to fraction form
    302,864.94/417,956.38 = 166,903.77/x
  3. Step 3: Cross multiply
    302,864.94x = 417,956.38 × 166,903.77
  4. Step 4: Simplify right side
    302,864.94x = 69,758,495,517.55
  5. Step 5: Solve for x
    x = 69,758,495,517.55/302,864.94
  6. Step 6: Final answer
    x = 230,328.73

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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.