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Finding the Fourth Proportional to 301,958.40, 416,693.52 and 165,992.16

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Solution

The fourth proportional to 301,958.40, 416,693.52 and 165,992.16 is: 229,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,958.40 : 416,693.52 = 165,992.16 : x
  2. Step 2: Convert to fraction form
    301,958.40/416,693.52 = 165,992.16/x
  3. Step 3: Cross multiply
    301,958.40x = 416,693.52 × 165,992.16
  4. Step 4: Simplify right side
    301,958.40x = 69,167,857,442.80
  5. Step 5: Solve for x
    x = 69,167,857,442.80/301,958.40
  6. Step 6: Final answer
    x = 229,064.19

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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.