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Finding the Fourth Proportional to 562,207.82, 843,588.74 and 262,709.10

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Solution

The fourth proportional to 562,207.82, 843,588.74 and 262,709.10 is: 394,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,207.82 : 843,588.74 = 262,709.10 : x
  2. Step 2: Convert to fraction form
    562,207.82/843,588.74 = 262,709.10/x
  3. Step 3: Cross multiply
    562,207.82x = 843,588.74 × 262,709.10
  4. Step 4: Simplify right side
    562,207.82x = 221,618,438,655.53
  5. Step 5: Solve for x
    x = 221,618,438,655.53/562,207.82
  6. Step 6: Final answer
    x = 394,193.09

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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.