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Finding the Fourth Proportional to 562,271.50, 843,408.06 and 229,847.50

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Solution

The fourth proportional to 562,271.50, 843,408.06 and 229,847.50 is: 344,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,271.50 : 843,408.06 = 229,847.50 : x
  2. Step 2: Convert to fraction form
    562,271.50/843,408.06 = 229,847.50/x
  3. Step 3: Cross multiply
    562,271.50x = 843,408.06 × 229,847.50
  4. Step 4: Simplify right side
    562,271.50x = 193,855,234,070.85
  5. Step 5: Solve for x
    x = 193,855,234,070.85/562,271.50
  6. Step 6: Final answer
    x = 344,771.58

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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.