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Finding the Fourth Proportional to 470,970.20, 649,967.21 and 277,506.83

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Solution

The fourth proportional to 470,970.20, 649,967.21 and 277,506.83 is: 382,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,970.20 : 649,967.21 = 277,506.83 : x
  2. Step 2: Convert to fraction form
    470,970.20/649,967.21 = 277,506.83/x
  3. Step 3: Cross multiply
    470,970.20x = 649,967.21 × 277,506.83
  4. Step 4: Simplify right side
    470,970.20x = 180,370,335,413.67
  5. Step 5: Solve for x
    x = 180,370,335,413.67/470,970.20
  6. Step 6: Final answer
    x = 382,976.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.