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Finding the Fourth Proportional to 286,523.62, 429,194.86 and 167,835.14

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Solution

The fourth proportional to 286,523.62, 429,194.86 and 167,835.14 is: 251,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,523.62 : 429,194.86 = 167,835.14 : x
  2. Step 2: Convert to fraction form
    286,523.62/429,194.86 = 167,835.14/x
  3. Step 3: Cross multiply
    286,523.62x = 429,194.86 × 167,835.14
  4. Step 4: Simplify right side
    286,523.62x = 72,033,979,415.38
  5. Step 5: Solve for x
    x = 72,033,979,415.38/286,523.62
  6. Step 6: Final answer
    x = 251,406.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.