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Finding the Fourth Proportional to 442,994.10, 664,491.15 and 293,403.30

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Solution

The fourth proportional to 442,994.10, 664,491.15 and 293,403.30 is: 440,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,994.10 : 664,491.15 = 293,403.30 : x
  2. Step 2: Convert to fraction form
    442,994.10/664,491.15 = 293,403.30/x
  3. Step 3: Cross multiply
    442,994.10x = 664,491.15 × 293,403.30
  4. Step 4: Simplify right side
    442,994.10x = 194,963,896,230.80
  5. Step 5: Solve for x
    x = 194,963,896,230.80/442,994.10
  6. Step 6: Final answer
    x = 440,104.95

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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.