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Finding the Fourth Proportional to 538,468.03, 743,090.96 and 296,759.30

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Solution

The fourth proportional to 538,468.03, 743,090.96 and 296,759.30 is: 409,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,468.03 : 743,090.96 = 296,759.30 : x
  2. Step 2: Convert to fraction form
    538,468.03/743,090.96 = 296,759.30/x
  3. Step 3: Cross multiply
    538,468.03x = 743,090.96 × 296,759.30
  4. Step 4: Simplify right side
    538,468.03x = 220,519,153,499.86
  5. Step 5: Solve for x
    x = 220,519,153,499.86/538,468.03
  6. Step 6: Final answer
    x = 409,530.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.