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Finding the Fourth Proportional to 302,846.10, 417,946.20 and 166,879.97

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Solution

The fourth proportional to 302,846.10, 417,946.20 and 166,879.97 is: 230,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,846.10 : 417,946.20 = 166,879.97 : x
  2. Step 2: Convert to fraction form
    302,846.10/417,946.20 = 166,879.97/x
  3. Step 3: Cross multiply
    302,846.10x = 417,946.20 × 166,879.97
  4. Step 4: Simplify right side
    302,846.10x = 69,746,850,752.90
  5. Step 5: Solve for x
    x = 69,746,850,752.90/302,846.10
  6. Step 6: Final answer
    x = 230,304.60

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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.