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Finding the Fourth Proportional to 463,301.60, 695,029.20 and 197,189.60

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Solution

The fourth proportional to 463,301.60, 695,029.20 and 197,189.60 is: 295,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,301.60 : 695,029.20 = 197,189.60 : x
  2. Step 2: Convert to fraction form
    463,301.60/695,029.20 = 197,189.60/x
  3. Step 3: Cross multiply
    463,301.60x = 695,029.20 × 197,189.60
  4. Step 4: Simplify right side
    463,301.60x = 137,052,529,936.32
  5. Step 5: Solve for x
    x = 137,052,529,936.32/463,301.60
  6. Step 6: Final answer
    x = 295,817.09

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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.