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Finding the Fourth Proportional to 301,164.16, 415,606.56 and 167,028.16

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Solution

The fourth proportional to 301,164.16, 415,606.56 and 167,028.16 is: 230,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,164.16 : 415,606.56 = 167,028.16 : x
  2. Step 2: Convert to fraction form
    301,164.16/415,606.56 = 167,028.16/x
  3. Step 3: Cross multiply
    301,164.16x = 415,606.56 × 167,028.16
  4. Step 4: Simplify right side
    301,164.16x = 69,417,999,000.73
  5. Step 5: Solve for x
    x = 69,417,999,000.73/301,164.16
  6. Step 6: Final answer
    x = 230,498.87

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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.