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Finding the Fourth Proportional to 286,906.20, 430,359.30 and 236,167.80

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Solution

The fourth proportional to 286,906.20, 430,359.30 and 236,167.80 is: 354,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,906.20 : 430,359.30 = 236,167.80 : x
  2. Step 2: Convert to fraction form
    286,906.20/430,359.30 = 236,167.80/x
  3. Step 3: Cross multiply
    286,906.20x = 430,359.30 × 236,167.80
  4. Step 4: Simplify right side
    286,906.20x = 101,637,009,090.54
  5. Step 5: Solve for x
    x = 101,637,009,090.54/286,906.20
  6. Step 6: Final answer
    x = 354,251.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.