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Finding the Fourth Proportional to 288,764.22, 433,343.16 and 173,455.86

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Solution

The fourth proportional to 288,764.22, 433,343.16 and 173,455.86 is: 260,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,764.22 : 433,343.16 = 173,455.86 : x
  2. Step 2: Convert to fraction form
    288,764.22/433,343.16 = 173,455.86/x
  3. Step 3: Cross multiply
    288,764.22x = 433,343.16 × 173,455.86
  4. Step 4: Simplify right side
    288,764.22x = 75,165,910,492.92
  5. Step 5: Solve for x
    x = 75,165,910,492.92/288,764.22
  6. Step 6: Final answer
    x = 260,302.02

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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.