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Finding the Fourth Proportional to 467,024.67, 700,588.98 and 200,811.96

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Solution

The fourth proportional to 467,024.67, 700,588.98 and 200,811.96 is: 301,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,024.67 : 700,588.98 = 200,811.96 : x
  2. Step 2: Convert to fraction form
    467,024.67/700,588.98 = 200,811.96/x
  3. Step 3: Cross multiply
    467,024.67x = 700,588.98 × 200,811.96
  4. Step 4: Simplify right side
    467,024.67x = 140,686,646,228.20
  5. Step 5: Solve for x
    x = 140,686,646,228.20/467,024.67
  6. Step 6: Final answer
    x = 301,240.29

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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.