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Finding the Fourth Proportional to 301,969.24, 416,722.72 and 166,008.88

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Solution

The fourth proportional to 301,969.24, 416,722.72 and 166,008.88 is: 229,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,969.24 : 416,722.72 = 166,008.88 : x
  2. Step 2: Convert to fraction form
    301,969.24/416,722.72 = 166,008.88/x
  3. Step 3: Cross multiply
    301,969.24x = 416,722.72 × 166,008.88
  4. Step 4: Simplify right side
    301,969.24x = 69,179,672,017.75
  5. Step 5: Solve for x
    x = 69,179,672,017.75/301,969.24
  6. Step 6: Final answer
    x = 229,095.10

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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.