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Finding the Fourth Proportional to 442,905.40, 664,358.10 and 285,441.40

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Solution

The fourth proportional to 442,905.40, 664,358.10 and 285,441.40 is: 428,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,905.40 : 664,358.10 = 285,441.40 : x
  2. Step 2: Convert to fraction form
    442,905.40/664,358.10 = 285,441.40/x
  3. Step 3: Cross multiply
    442,905.40x = 664,358.10 × 285,441.40
  4. Step 4: Simplify right side
    442,905.40x = 189,635,306,165.34
  5. Step 5: Solve for x
    x = 189,635,306,165.34/442,905.40
  6. Step 6: Final answer
    x = 428,162.10

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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.