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Finding the Fourth Proportional to 496,215.04, 743,985.64 and 252,457

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Solution

The fourth proportional to 496,215.04, 743,985.64 and 252,457 is: 378,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,215.04 : 743,985.64 = 252,457 : x
  2. Step 2: Convert to fraction form
    496,215.04/743,985.64 = 252,457/x
  3. Step 3: Cross multiply
    496,215.04x = 743,985.64 × 252,457
  4. Step 4: Simplify right side
    496,215.04x = 187,824,382,717.48
  5. Step 5: Solve for x
    x = 187,824,382,717.48/496,215.04
  6. Step 6: Final answer
    x = 378,514.09

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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.