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Finding the Fourth Proportional to 496,676.86, 745,022.42 and 141,690.91

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Solution

The fourth proportional to 496,676.86, 745,022.42 and 141,690.91 is: 212,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,676.86 : 745,022.42 = 141,690.91 : x
  2. Step 2: Convert to fraction form
    496,676.86/745,022.42 = 141,690.91/x
  3. Step 3: Cross multiply
    496,676.86x = 745,022.42 × 141,690.91
  4. Step 4: Simplify right side
    496,676.86x = 105,562,904,660.20
  5. Step 5: Solve for x
    x = 105,562,904,660.20/496,676.86
  6. Step 6: Final answer
    x = 212,538.40

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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.