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Finding the Fourth Proportional to 496,133.70, 744,200.55 and 384,159.30

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Solution

The fourth proportional to 496,133.70, 744,200.55 and 384,159.30 is: 576,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,133.70 : 744,200.55 = 384,159.30 : x
  2. Step 2: Convert to fraction form
    496,133.70/744,200.55 = 384,159.30/x
  3. Step 3: Cross multiply
    496,133.70x = 744,200.55 × 384,159.30
  4. Step 4: Simplify right side
    496,133.70x = 285,891,562,347.62
  5. Step 5: Solve for x
    x = 285,891,562,347.62/496,133.70
  6. Step 6: Final answer
    x = 576,238.95

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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.