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Finding the Fourth Proportional to 469,314.92, 648,189.16 and 318,149.48

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Solution

The fourth proportional to 469,314.92, 648,189.16 and 318,149.48 is: 439,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,314.92 : 648,189.16 = 318,149.48 : x
  2. Step 2: Convert to fraction form
    469,314.92/648,189.16 = 318,149.48/x
  3. Step 3: Cross multiply
    469,314.92x = 648,189.16 × 318,149.48
  4. Step 4: Simplify right side
    469,314.92x = 206,221,044,195.64
  5. Step 5: Solve for x
    x = 206,221,044,195.64/469,314.92
  6. Step 6: Final answer
    x = 439,408.67

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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.