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Finding the Fourth Proportional to 301,151.28, 415,590.84 and 167,023.92

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Solution

The fourth proportional to 301,151.28, 415,590.84 and 167,023.92 is: 230,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,151.28 : 415,590.84 = 167,023.92 : x
  2. Step 2: Convert to fraction form
    301,151.28/415,590.84 = 167,023.92/x
  3. Step 3: Cross multiply
    301,151.28x = 415,590.84 × 167,023.92
  4. Step 4: Simplify right side
    301,151.28x = 69,413,611,212.89
  5. Step 5: Solve for x
    x = 69,413,611,212.89/301,151.28
  6. Step 6: Final answer
    x = 230,494.16

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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.