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Finding the Fourth Proportional to 467,633.58, 645,181.38 and 286,156.32

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Solution

The fourth proportional to 467,633.58, 645,181.38 and 286,156.32 is: 394,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,633.58 : 645,181.38 = 286,156.32 : x
  2. Step 2: Convert to fraction form
    467,633.58/645,181.38 = 286,156.32/x
  3. Step 3: Cross multiply
    467,633.58x = 645,181.38 × 286,156.32
  4. Step 4: Simplify right side
    467,633.58x = 184,622,729,433.32
  5. Step 5: Solve for x
    x = 184,622,729,433.32/467,633.58
  6. Step 6: Final answer
    x = 394,802.12

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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.