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Finding the Fourth Proportional to 428,413.80, 642,620.70 and 112,902.60

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Solution

The fourth proportional to 428,413.80, 642,620.70 and 112,902.60 is: 169,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,413.80 : 642,620.70 = 112,902.60 : x
  2. Step 2: Convert to fraction form
    428,413.80/642,620.70 = 112,902.60/x
  3. Step 3: Cross multiply
    428,413.80x = 642,620.70 × 112,902.60
  4. Step 4: Simplify right side
    428,413.80x = 72,553,547,843.82
  5. Step 5: Solve for x
    x = 72,553,547,843.82/428,413.80
  6. Step 6: Final answer
    x = 169,353.90

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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.