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Finding the Fourth Proportional to 442,996.80, 664,495.20 and 265,412.40

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Solution

The fourth proportional to 442,996.80, 664,495.20 and 265,412.40 is: 398,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,996.80 : 664,495.20 = 265,412.40 : x
  2. Step 2: Convert to fraction form
    442,996.80/664,495.20 = 265,412.40/x
  3. Step 3: Cross multiply
    442,996.80x = 664,495.20 × 265,412.40
  4. Step 4: Simplify right side
    442,996.80x = 176,365,265,820.48
  5. Step 5: Solve for x
    x = 176,365,265,820.48/442,996.80
  6. Step 6: Final answer
    x = 398,118.60

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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.