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Finding the Fourth Proportional to 463,430.60, 694,271.10 and 238,023.80

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Solution

The fourth proportional to 463,430.60, 694,271.10 and 238,023.80 is: 356,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,430.60 : 694,271.10 = 238,023.80 : x
  2. Step 2: Convert to fraction form
    463,430.60/694,271.10 = 238,023.80/x
  3. Step 3: Cross multiply
    463,430.60x = 694,271.10 × 238,023.80
  4. Step 4: Simplify right side
    463,430.60x = 165,253,045,452.18
  5. Step 5: Solve for x
    x = 165,253,045,452.18/463,430.60
  6. Step 6: Final answer
    x = 356,586.39

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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.