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Finding the Fourth Proportional to 362,140.40, 542,562.60 and 174,738.80

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Solution

The fourth proportional to 362,140.40, 542,562.60 and 174,738.80 is: 261,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.40 : 542,562.60 = 174,738.80 : x
  2. Step 2: Convert to fraction form
    362,140.40/542,562.60 = 174,738.80/x
  3. Step 3: Cross multiply
    362,140.40x = 542,562.60 × 174,738.80
  4. Step 4: Simplify right side
    362,140.40x = 94,806,737,648.88
  5. Step 5: Solve for x
    x = 94,806,737,648.88/362,140.40
  6. Step 6: Final answer
    x = 261,795.53

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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.