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Finding the Fourth Proportional to 302,454.79, 417,384.36 and 166,485.84

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Solution

The fourth proportional to 302,454.79, 417,384.36 and 166,485.84 is: 229,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,454.79 : 417,384.36 = 166,485.84 : x
  2. Step 2: Convert to fraction form
    302,454.79/417,384.36 = 166,485.84/x
  3. Step 3: Cross multiply
    302,454.79x = 417,384.36 × 166,485.84
  4. Step 4: Simplify right side
    302,454.79x = 69,488,585,777.46
  5. Step 5: Solve for x
    x = 69,488,585,777.46/302,454.79
  6. Step 6: Final answer
    x = 229,748.67

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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.