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Finding the Fourth Proportional to 302,216.67, 417,059.91 and 166,264.56

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Solution

The fourth proportional to 302,216.67, 417,059.91 and 166,264.56 is: 229,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,216.67 : 417,059.91 = 166,264.56 : x
  2. Step 2: Convert to fraction form
    302,216.67/417,059.91 = 166,264.56/x
  3. Step 3: Cross multiply
    302,216.67x = 417,059.91 × 166,264.56
  4. Step 4: Simplify right side
    302,216.67x = 69,342,282,429.79
  5. Step 5: Solve for x
    x = 69,342,282,429.79/302,216.67
  6. Step 6: Final answer
    x = 229,445.59

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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.