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Finding the Fourth Proportional to 492,275.80, 738,413.70 and 281,740.60

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Solution

The fourth proportional to 492,275.80, 738,413.70 and 281,740.60 is: 422,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,275.80 : 738,413.70 = 281,740.60 : x
  2. Step 2: Convert to fraction form
    492,275.80/738,413.70 = 281,740.60/x
  3. Step 3: Cross multiply
    492,275.80x = 738,413.70 × 281,740.60
  4. Step 4: Simplify right side
    492,275.80x = 208,041,118,886.22
  5. Step 5: Solve for x
    x = 208,041,118,886.22/492,275.80
  6. Step 6: Final answer
    x = 422,610.90

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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.