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Finding the Fourth Proportional to 301,023.76, 415,431.52 and 166,887.76

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Solution

The fourth proportional to 301,023.76, 415,431.52 and 166,887.76 is: 230,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,023.76 : 415,431.52 = 166,887.76 : x
  2. Step 2: Convert to fraction form
    301,023.76/415,431.52 = 166,887.76/x
  3. Step 3: Cross multiply
    301,023.76x = 415,431.52 × 166,887.76
  4. Step 4: Simplify right side
    301,023.76x = 69,330,435,806.20
  5. Step 5: Solve for x
    x = 69,330,435,806.20/301,023.76
  6. Step 6: Final answer
    x = 230,315.49

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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.