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Finding the Fourth Proportional to 301,025.88, 415,416.30 and 166,889.88

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Solution

The fourth proportional to 301,025.88, 415,416.30 and 166,889.88 is: 230,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.88 : 415,416.30 = 166,889.88 : x
  2. Step 2: Convert to fraction form
    301,025.88/415,416.30 = 166,889.88/x
  3. Step 3: Cross multiply
    301,025.88x = 415,416.30 × 166,889.88
  4. Step 4: Simplify right side
    301,025.88x = 69,328,776,457.04
  5. Step 5: Solve for x
    x = 69,328,776,457.04/301,025.88
  6. Step 6: Final answer
    x = 230,308.36

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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.