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Finding the Fourth Proportional to 463,637.40, 694,937.70 and 197,352.60

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Solution

The fourth proportional to 463,637.40, 694,937.70 and 197,352.60 is: 295,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,637.40 : 694,937.70 = 197,352.60 : x
  2. Step 2: Convert to fraction form
    463,637.40/694,937.70 = 197,352.60/x
  3. Step 3: Cross multiply
    463,637.40x = 694,937.70 × 197,352.60
  4. Step 4: Simplify right side
    463,637.40x = 137,147,761,933.02
  5. Step 5: Solve for x
    x = 137,147,761,933.02/463,637.40
  6. Step 6: Final answer
    x = 295,808.24

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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.