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Finding the Fourth Proportional to 286,502.40, 395,250.84 and 178,999.20

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Solution

The fourth proportional to 286,502.40, 395,250.84 and 178,999.20 is: 246,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502.40 : 395,250.84 = 178,999.20 : x
  2. Step 2: Convert to fraction form
    286,502.40/395,250.84 = 178,999.20/x
  3. Step 3: Cross multiply
    286,502.40x = 395,250.84 × 178,999.20
  4. Step 4: Simplify right side
    286,502.40x = 70,749,584,159.33
  5. Step 5: Solve for x
    x = 70,749,584,159.33/286,502.40
  6. Step 6: Final answer
    x = 246,942.38

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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.