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Finding the Fourth Proportional to 496,210.04, 743,978.14 and 252,452

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Solution

The fourth proportional to 496,210.04, 743,978.14 and 252,452 is: 378,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,210.04 : 743,978.14 = 252,452 : x
  2. Step 2: Convert to fraction form
    496,210.04/743,978.14 = 252,452/x
  3. Step 3: Cross multiply
    496,210.04x = 743,978.14 × 252,452
  4. Step 4: Simplify right side
    496,210.04x = 187,818,769,399.28
  5. Step 5: Solve for x
    x = 187,818,769,399.28/496,210.04
  6. Step 6: Final answer
    x = 378,506.59

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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.