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Finding the Fourth Proportional to 496,193.76, 743,953.80 and 252,435.74

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Solution

The fourth proportional to 496,193.76, 743,953.80 and 252,435.74 is: 378,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,193.76 : 743,953.80 = 252,435.74 : x
  2. Step 2: Convert to fraction form
    496,193.76/743,953.80 = 252,435.74/x
  3. Step 3: Cross multiply
    496,193.76x = 743,953.80 × 252,435.74
  4. Step 4: Simplify right side
    496,193.76x = 187,800,529,888.70
  5. Step 5: Solve for x
    x = 187,800,529,888.70/496,193.76
  6. Step 6: Final answer
    x = 378,482.25

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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.