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Finding the Fourth Proportional to 302,570.80, 417,544.12 and 166,601.84

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Solution

The fourth proportional to 302,570.80, 417,544.12 and 166,601.84 is: 229,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,570.80 : 417,544.12 = 166,601.84 : x
  2. Step 2: Convert to fraction form
    302,570.80/417,544.12 = 166,601.84/x
  3. Step 3: Cross multiply
    302,570.80x = 417,544.12 × 166,601.84
  4. Step 4: Simplify right side
    302,570.80x = 69,563,618,673.18
  5. Step 5: Solve for x
    x = 69,563,618,673.18/302,570.80
  6. Step 6: Final answer
    x = 229,908.57

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1.5x scale

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.