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Finding the Fourth Proportional to 442,967.10, 664,450.65 and 440,342.70

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Solution

The fourth proportional to 442,967.10, 664,450.65 and 440,342.70 is: 660,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,967.10 : 664,450.65 = 440,342.70 : x
  2. Step 2: Convert to fraction form
    442,967.10/664,450.65 = 440,342.70/x
  3. Step 3: Cross multiply
    442,967.10x = 664,450.65 × 440,342.70
  4. Step 4: Simplify right side
    442,967.10x = 292,585,993,237.76
  5. Step 5: Solve for x
    x = 292,585,993,237.76/442,967.10
  6. Step 6: Final answer
    x = 660,514.05

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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.