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Finding the Fourth Proportional to 413,072.20, 619,672.86 and 176,416.12

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Solution

The fourth proportional to 413,072.20, 619,672.86 and 176,416.12 is: 264,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,072.20 : 619,672.86 = 176,416.12 : x
  2. Step 2: Convert to fraction form
    413,072.20/619,672.86 = 176,416.12/x
  3. Step 3: Cross multiply
    413,072.20x = 619,672.86 × 176,416.12
  4. Step 4: Simplify right side
    413,072.20x = 109,320,281,630.50
  5. Step 5: Solve for x
    x = 109,320,281,630.50/413,072.20
  6. Step 6: Final answer
    x = 264,651.75

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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.