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Finding the Fourth Proportional to 288,951.52, 433,446.72 and 111,460

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Solution

The fourth proportional to 288,951.52, 433,446.72 and 111,460 is: 167,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,951.52 : 433,446.72 = 111,460 : x
  2. Step 2: Convert to fraction form
    288,951.52/433,446.72 = 111,460/x
  3. Step 3: Cross multiply
    288,951.52x = 433,446.72 × 111,460
  4. Step 4: Simplify right side
    288,951.52x = 48,311,971,411.20
  5. Step 5: Solve for x
    x = 48,311,971,411.20/288,951.52
  6. Step 6: Final answer
    x = 167,197.50

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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.