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Finding the Fourth Proportional to 542,895.84, 749,198.16 and 301,183.20

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Solution

The fourth proportional to 542,895.84, 749,198.16 and 301,183.20 is: 415,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,895.84 : 749,198.16 = 301,183.20 : x
  2. Step 2: Convert to fraction form
    542,895.84/749,198.16 = 301,183.20/x
  3. Step 3: Cross multiply
    542,895.84x = 749,198.16 × 301,183.20
  4. Step 4: Simplify right side
    542,895.84x = 225,645,899,262.91
  5. Step 5: Solve for x
    x = 225,645,899,262.91/542,895.84
  6. Step 6: Final answer
    x = 415,633.87

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1.5x scale

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.