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Finding the Fourth Proportional to 463,257.60, 695,145.60 and 196,972.80

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Solution

The fourth proportional to 463,257.60, 695,145.60 and 196,972.80 is: 295,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,257.60 : 695,145.60 = 196,972.80 : x
  2. Step 2: Convert to fraction form
    463,257.60/695,145.60 = 196,972.80/x
  3. Step 3: Cross multiply
    463,257.60x = 695,145.60 × 196,972.80
  4. Step 4: Simplify right side
    463,257.60x = 136,924,775,239.68
  5. Step 5: Solve for x
    x = 136,924,775,239.68/463,257.60
  6. Step 6: Final answer
    x = 295,569.41

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1.5x scale

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.