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Finding the Fourth Proportional to 542,123.20, 812,601.60 and 205,033.60

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Solution

The fourth proportional to 542,123.20, 812,601.60 and 205,033.60 is: 307,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,123.20 : 812,601.60 = 205,033.60 : x
  2. Step 2: Convert to fraction form
    542,123.20/812,601.60 = 205,033.60/x
  3. Step 3: Cross multiply
    542,123.20x = 812,601.60 × 205,033.60
  4. Step 4: Simplify right side
    542,123.20x = 166,610,631,413.76
  5. Step 5: Solve for x
    x = 166,610,631,413.76/542,123.20
  6. Step 6: Final answer
    x = 307,329.83

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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.