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Finding the Fourth Proportional to 409,433.56, 565,022.34 and 239,671.24

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Solution

The fourth proportional to 409,433.56, 565,022.34 and 239,671.24 is: 330,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,433.56 : 565,022.34 = 239,671.24 : x
  2. Step 2: Convert to fraction form
    409,433.56/565,022.34 = 239,671.24/x
  3. Step 3: Cross multiply
    409,433.56x = 565,022.34 × 239,671.24
  4. Step 4: Simplify right side
    409,433.56x = 135,419,604,855.50
  5. Step 5: Solve for x
    x = 135,419,604,855.50/409,433.56
  6. Step 6: Final answer
    x = 330,748.67

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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.