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Finding the Fourth Proportional to 301,025.76, 415,434.28 and 166,889.76

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Solution

The fourth proportional to 301,025.76, 415,434.28 and 166,889.76 is: 230,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.76 : 415,434.28 = 166,889.76 : x
  2. Step 2: Convert to fraction form
    301,025.76/415,434.28 = 166,889.76/x
  3. Step 3: Cross multiply
    301,025.76x = 415,434.28 × 166,889.76
  4. Step 4: Simplify right side
    301,025.76x = 69,331,727,284.97
  5. Step 5: Solve for x
    x = 69,331,727,284.97/301,025.76
  6. Step 6: Final answer
    x = 230,318.25

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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.