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Finding the Fourth Proportional to 362,461.86, 500,183.52 and 201,327.24

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Solution

The fourth proportional to 362,461.86, 500,183.52 and 201,327.24 is: 277,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,461.86 : 500,183.52 = 201,327.24 : x
  2. Step 2: Convert to fraction form
    362,461.86/500,183.52 = 201,327.24/x
  3. Step 3: Cross multiply
    362,461.86x = 500,183.52 × 201,327.24
  4. Step 4: Simplify right side
    362,461.86x = 100,700,567,575.09
  5. Step 5: Solve for x
    x = 100,700,567,575.09/362,461.86
  6. Step 6: Final answer
    x = 277,823.90

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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.