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Finding the Fourth Proportional to 284,778.27, 426,956.50 and 172,432.08

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Solution

The fourth proportional to 284,778.27, 426,956.50 and 172,432.08 is: 258,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.27 : 426,956.50 = 172,432.08 : x
  2. Step 2: Convert to fraction form
    284,778.27/426,956.50 = 172,432.08/x
  3. Step 3: Cross multiply
    284,778.27x = 426,956.50 × 172,432.08
  4. Step 4: Simplify right side
    284,778.27x = 73,620,997,364.52
  5. Step 5: Solve for x
    x = 73,620,997,364.52/284,778.27
  6. Step 6: Final answer
    x = 258,520.42

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