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Finding the Fourth Proportional to 411,753.16, 567,040.26 and 353,925.64

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Solution

The fourth proportional to 411,753.16, 567,040.26 and 353,925.64 is: 487,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,753.16 : 567,040.26 = 353,925.64 : x
  2. Step 2: Convert to fraction form
    411,753.16/567,040.26 = 353,925.64/x
  3. Step 3: Cross multiply
    411,753.16x = 567,040.26 × 353,925.64
  4. Step 4: Simplify right side
    411,753.16x = 200,690,086,926.27
  5. Step 5: Solve for x
    x = 200,690,086,926.27/411,753.16
  6. Step 6: Final answer
    x = 487,403.88

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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.