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Finding the Fourth Proportional to 467,677.58, 645,247.92 and 286,200.32

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Solution

The fourth proportional to 467,677.58, 645,247.92 and 286,200.32 is: 394,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,677.58 : 645,247.92 = 286,200.32 : x
  2. Step 2: Convert to fraction form
    467,677.58/645,247.92 = 286,200.32/x
  3. Step 3: Cross multiply
    467,677.58x = 645,247.92 × 286,200.32
  4. Step 4: Simplify right side
    467,677.58x = 184,670,161,183.33
  5. Step 5: Solve for x
    x = 184,670,161,183.33/467,677.58
  6. Step 6: Final answer
    x = 394,866.40

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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.