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Finding the Fourth Proportional to 301,962.57, 416,713.64 and 166,002.24

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Solution

The fourth proportional to 301,962.57, 416,713.64 and 166,002.24 is: 229,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,962.57 : 416,713.64 = 166,002.24 : x
  2. Step 2: Convert to fraction form
    301,962.57/416,713.64 = 166,002.24/x
  3. Step 3: Cross multiply
    301,962.57x = 416,713.64 × 166,002.24
  4. Step 4: Simplify right side
    301,962.57x = 69,175,396,848.54
  5. Step 5: Solve for x
    x = 69,175,396,848.54/301,962.57
  6. Step 6: Final answer
    x = 229,086.00

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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.