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Finding the Fourth Proportional to 320,676.85, 442,463.82 and 191,595.96

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Solution

The fourth proportional to 320,676.85, 442,463.82 and 191,595.96 is: 264,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,676.85 : 442,463.82 = 191,595.96 : x
  2. Step 2: Convert to fraction form
    320,676.85/442,463.82 = 191,595.96/x
  3. Step 3: Cross multiply
    320,676.85x = 442,463.82 × 191,595.96
  4. Step 4: Simplify right side
    320,676.85x = 84,774,280,358.17
  5. Step 5: Solve for x
    x = 84,774,280,358.17/320,676.85
  6. Step 6: Final answer
    x = 264,360.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.