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Finding the Fourth Proportional to 442,048.20, 663,650.46 and 262,461.48

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Solution

The fourth proportional to 442,048.20, 663,650.46 and 262,461.48 is: 394,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,048.20 : 663,650.46 = 262,461.48 : x
  2. Step 2: Convert to fraction form
    442,048.20/663,650.46 = 262,461.48/x
  3. Step 3: Cross multiply
    442,048.20x = 663,650.46 × 262,461.48
  4. Step 4: Simplify right side
    442,048.20x = 174,182,681,934.28
  5. Step 5: Solve for x
    x = 174,182,681,934.28/442,048.20
  6. Step 6: Final answer
    x = 394,035.50

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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.