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Finding the Fourth Proportional to 362,436.80, 543,914.40 and 152,225.60

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Solution

The fourth proportional to 362,436.80, 543,914.40 and 152,225.60 is: 228,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,436.80 : 543,914.40 = 152,225.60 : x
  2. Step 2: Convert to fraction form
    362,436.80/543,914.40 = 152,225.60/x
  3. Step 3: Cross multiply
    362,436.80x = 543,914.40 × 152,225.60
  4. Step 4: Simplify right side
    362,436.80x = 82,797,695,888.64
  5. Step 5: Solve for x
    x = 82,797,695,888.64/362,436.80
  6. Step 6: Final answer
    x = 228,447.27

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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.