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Finding the Fourth Proportional to 362,436.80, 543,655.20 and 212,748.80

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Solution

The fourth proportional to 362,436.80, 543,655.20 and 212,748.80 is: 319,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,436.80 : 543,655.20 = 212,748.80 : x
  2. Step 2: Convert to fraction form
    362,436.80/543,655.20 = 212,748.80/x
  3. Step 3: Cross multiply
    362,436.80x = 543,655.20 × 212,748.80
  4. Step 4: Simplify right side
    362,436.80x = 115,661,991,413.76
  5. Step 5: Solve for x
    x = 115,661,991,413.76/362,436.80
  6. Step 6: Final answer
    x = 319,123.20

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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.