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Finding the Fourth Proportional to 302,594.87, 417,580.92 and 166,628.48

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Solution

The fourth proportional to 302,594.87, 417,580.92 and 166,628.48 is: 229,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,594.87 : 417,580.92 = 166,628.48 : x
  2. Step 2: Convert to fraction form
    302,594.87/417,580.92 = 166,628.48/x
  3. Step 3: Cross multiply
    302,594.87x = 417,580.92 × 166,628.48
  4. Step 4: Simplify right side
    302,594.87x = 69,580,871,888.70
  5. Step 5: Solve for x
    x = 69,580,871,888.70/302,594.87
  6. Step 6: Final answer
    x = 229,947.29

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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.