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Finding the Fourth Proportional to 302,585.68, 417,564.72 and 166,616.80

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Solution

The fourth proportional to 302,585.68, 417,564.72 and 166,616.80 is: 229,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,585.68 : 417,564.72 = 166,616.80 : x
  2. Step 2: Convert to fraction form
    302,585.68/417,564.72 = 166,616.80/x
  3. Step 3: Cross multiply
    302,585.68x = 417,564.72 × 166,616.80
  4. Step 4: Simplify right side
    302,585.68x = 69,573,297,439.30
  5. Step 5: Solve for x
    x = 69,573,297,439.30/302,585.68
  6. Step 6: Final answer
    x = 229,929.25

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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.