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Finding the Fourth Proportional to 405,720.80, 608,581.20 and 312,408.80

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Solution

The fourth proportional to 405,720.80, 608,581.20 and 312,408.80 is: 468,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,720.80 : 608,581.20 = 312,408.80 : x
  2. Step 2: Convert to fraction form
    405,720.80/608,581.20 = 312,408.80/x
  3. Step 3: Cross multiply
    405,720.80x = 608,581.20 × 312,408.80
  4. Step 4: Simplify right side
    405,720.80x = 190,126,122,394.56
  5. Step 5: Solve for x
    x = 190,126,122,394.56/405,720.80
  6. Step 6: Final answer
    x = 468,613.20

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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.