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Finding the Fourth Proportional to 302,867.92, 417,960.48 and 166,906.74

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Solution

The fourth proportional to 302,867.92, 417,960.48 and 166,906.74 is: 230,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,867.92 : 417,960.48 = 166,906.74 : x
  2. Step 2: Convert to fraction form
    302,867.92/417,960.48 = 166,906.74/x
  3. Step 3: Cross multiply
    302,867.92x = 417,960.48 × 166,906.74
  4. Step 4: Simplify right side
    302,867.92x = 69,760,421,165.64
  5. Step 5: Solve for x
    x = 69,760,421,165.64/302,867.92
  6. Step 6: Final answer
    x = 230,332.82

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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.