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Finding the Fourth Proportional to 507,748.38, 700,692.76 and 281,408.46

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Solution

The fourth proportional to 507,748.38, 700,692.76 and 281,408.46 is: 388,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,748.38 : 700,692.76 = 281,408.46 : x
  2. Step 2: Convert to fraction form
    507,748.38/700,692.76 = 281,408.46/x
  3. Step 3: Cross multiply
    507,748.38x = 700,692.76 × 281,408.46
  4. Step 4: Simplify right side
    507,748.38x = 197,180,867,021.29
  5. Step 5: Solve for x
    x = 197,180,867,021.29/507,748.38
  6. Step 6: Final answer
    x = 388,343.67

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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.