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Finding the Fourth Proportional to 463,438.60, 694,283.10 and 238,031.80

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Solution

The fourth proportional to 463,438.60, 694,283.10 and 238,031.80 is: 356,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,438.60 : 694,283.10 = 238,031.80 : x
  2. Step 2: Convert to fraction form
    463,438.60/694,283.10 = 238,031.80/x
  3. Step 3: Cross multiply
    463,438.60x = 694,283.10 × 238,031.80
  4. Step 4: Simplify right side
    463,438.60x = 165,261,456,002.58
  5. Step 5: Solve for x
    x = 165,261,456,002.58/463,438.60
  6. Step 6: Final answer
    x = 356,598.38

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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.