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Finding the Fourth Proportional to 442,967.60, 664,451.40 and 176,769.20

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Solution

The fourth proportional to 442,967.60, 664,451.40 and 176,769.20 is: 265,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,967.60 : 664,451.40 = 176,769.20 : x
  2. Step 2: Convert to fraction form
    442,967.60/664,451.40 = 176,769.20/x
  3. Step 3: Cross multiply
    442,967.60x = 664,451.40 × 176,769.20
  4. Step 4: Simplify right side
    442,967.60x = 117,454,542,416.88
  5. Step 5: Solve for x
    x = 117,454,542,416.88/442,967.60
  6. Step 6: Final answer
    x = 265,153.80

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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.