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Finding the Fourth Proportional to 463,799.70, 695,415.24 and 197,408.52

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Solution

The fourth proportional to 463,799.70, 695,415.24 and 197,408.52 is: 295,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,799.70 : 695,415.24 = 197,408.52 : x
  2. Step 2: Convert to fraction form
    463,799.70/695,415.24 = 197,408.52/x
  3. Step 3: Cross multiply
    463,799.70x = 695,415.24 × 197,408.52
  4. Step 4: Simplify right side
    463,799.70x = 137,280,893,313.85
  5. Step 5: Solve for x
    x = 137,280,893,313.85/463,799.70
  6. Step 6: Final answer
    x = 295,991.77

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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.