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Finding the Fourth Proportional to 286,396.37, 429,608.90 and 73,165.92

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Solution

The fourth proportional to 286,396.37, 429,608.90 and 73,165.92 is: 109,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,396.37 : 429,608.90 = 73,165.92 : x
  2. Step 2: Convert to fraction form
    286,396.37/429,608.90 = 73,165.92/x
  3. Step 3: Cross multiply
    286,396.37x = 429,608.90 × 73,165.92
  4. Step 4: Simplify right side
    286,396.37x = 31,432,727,894.81
  5. Step 5: Solve for x
    x = 31,432,727,894.81/286,396.37
  6. Step 6: Final answer
    x = 109,752.54

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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.