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Finding the Fourth Proportional to 496,167.72, 684,741.36 and 292,354.50

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Solution

The fourth proportional to 496,167.72, 684,741.36 and 292,354.50 is: 403,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,167.72 : 684,741.36 = 292,354.50 : x
  2. Step 2: Convert to fraction form
    496,167.72/684,741.36 = 292,354.50/x
  3. Step 3: Cross multiply
    496,167.72x = 684,741.36 × 292,354.50
  4. Step 4: Simplify right side
    496,167.72x = 200,187,217,932.12
  5. Step 5: Solve for x
    x = 200,187,217,932.12/496,167.72
  6. Step 6: Final answer
    x = 403,466.83

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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.