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Finding the Fourth Proportional to 442,905.20, 664,357.80 and 307,602.80

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Solution

The fourth proportional to 442,905.20, 664,357.80 and 307,602.80 is: 461,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,905.20 : 664,357.80 = 307,602.80 : x
  2. Step 2: Convert to fraction form
    442,905.20/664,357.80 = 307,602.80/x
  3. Step 3: Cross multiply
    442,905.20x = 664,357.80 × 307,602.80
  4. Step 4: Simplify right side
    442,905.20x = 204,358,319,481.84
  5. Step 5: Solve for x
    x = 204,358,319,481.84/442,905.20
  6. Step 6: Final answer
    x = 461,404.20

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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.