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Finding the Fourth Proportional to 561,188.20, 774,247.62 and 319,410.28

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Solution

The fourth proportional to 561,188.20, 774,247.62 and 319,410.28 is: 440,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,188.20 : 774,247.62 = 319,410.28 : x
  2. Step 2: Convert to fraction form
    561,188.20/774,247.62 = 319,410.28/x
  3. Step 3: Cross multiply
    561,188.20x = 774,247.62 × 319,410.28
  4. Step 4: Simplify right side
    561,188.20x = 247,302,649,093.53
  5. Step 5: Solve for x
    x = 247,302,649,093.53/561,188.20
  6. Step 6: Final answer
    x = 440,676.85

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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.