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Finding the Fourth Proportional to 463,425.60, 695,138.40 and 197,194.80

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Solution

The fourth proportional to 463,425.60, 695,138.40 and 197,194.80 is: 295,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,425.60 : 695,138.40 = 197,194.80 : x
  2. Step 2: Convert to fraction form
    463,425.60/695,138.40 = 197,194.80/x
  3. Step 3: Cross multiply
    463,425.60x = 695,138.40 × 197,194.80
  4. Step 4: Simplify right side
    463,425.60x = 137,077,677,760.32
  5. Step 5: Solve for x
    x = 137,077,677,760.32/463,425.60
  6. Step 6: Final answer
    x = 295,792.20

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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.