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Finding the Fourth Proportional to 362,431.60, 543,712.20 and 152,090.80

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Solution

The fourth proportional to 362,431.60, 543,712.20 and 152,090.80 is: 228,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,431.60 : 543,712.20 = 152,090.80 : x
  2. Step 2: Convert to fraction form
    362,431.60/543,712.20 = 152,090.80/x
  3. Step 3: Cross multiply
    362,431.60x = 543,712.20 × 152,090.80
  4. Step 4: Simplify right side
    362,431.60x = 82,693,623,467.76
  5. Step 5: Solve for x
    x = 82,693,623,467.76/362,431.60
  6. Step 6: Final answer
    x = 228,163.39

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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.