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Finding the Fourth Proportional to 496,784.64, 745,183.84 and 141,798.56

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Solution

The fourth proportional to 496,784.64, 745,183.84 and 141,798.56 is: 212,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,784.64 : 745,183.84 = 141,798.56 : x
  2. Step 2: Convert to fraction form
    496,784.64/745,183.84 = 141,798.56/x
  3. Step 3: Cross multiply
    496,784.64x = 745,183.84 × 141,798.56
  4. Step 4: Simplify right side
    496,784.64x = 105,665,995,447.27
  5. Step 5: Solve for x
    x = 105,665,995,447.27/496,784.64
  6. Step 6: Final answer
    x = 212,699.80

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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.