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Finding the Fourth Proportional to 463,463.40, 695,259.90 and 197,221.80

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Solution

The fourth proportional to 463,463.40, 695,259.90 and 197,221.80 is: 295,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463.40 : 695,259.90 = 197,221.80 : x
  2. Step 2: Convert to fraction form
    463,463.40/695,259.90 = 197,221.80/x
  3. Step 3: Cross multiply
    463,463.40x = 695,259.90 × 197,221.80
  4. Step 4: Simplify right side
    463,463.40x = 137,120,408,945.82
  5. Step 5: Solve for x
    x = 137,120,408,945.82/463,463.40
  6. Step 6: Final answer
    x = 295,860.27

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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.