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Finding the Fourth Proportional to 302,546.63, 417,510.92 and 166,577.80

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Solution

The fourth proportional to 302,546.63, 417,510.92 and 166,577.80 is: 229,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,546.63 : 417,510.92 = 166,577.80 : x
  2. Step 2: Convert to fraction form
    302,546.63/417,510.92 = 166,577.80/x
  3. Step 3: Cross multiply
    302,546.63x = 417,510.92 × 166,577.80
  4. Step 4: Simplify right side
    302,546.63x = 69,548,050,529.58
  5. Step 5: Solve for x
    x = 69,548,050,529.58/302,546.63
  6. Step 6: Final answer
    x = 229,875.48

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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.